<span>x = {-1, 3}
Full explanation=
</span><span>Simplifying
x + 2 = 3x + -1x2 + 5
Reorder the terms:
2 + x = 3x + -1x2 + 5
Reorder the terms:
2 + x = 5 + 3x + -1x2
Solving
2 + x = 5 + 3x + -1x2
Solving for variable 'x'.
Reorder the terms:
2 + -5 + x + -3x + x2 = 5 + 3x + -1x2 + -5 + -3x + x2
Combine like terms: 2 + -5 = -3
-3 + x + -3x + x2 = 5 + 3x + -1x2 + -5 + -3x + x2
Combine like terms: x + -3x = -2x
-3 + -2x + x2 = 5 + 3x + -1x2 + -5 + -3x + x2
Reorder the terms:
-3 + -2x + x2 = 5 + -5 + 3x + -3x + -1x2 + x2
Combine like terms: 5 + -5 = 0
-3 + -2x + x2 = 0 + 3x + -3x + -1x2 + x2
-3 + -2x + x2 = 3x + -3x + -1x2 + x2
Combine like terms: 3x + -3x = 0
-3 + -2x + x2 = 0 + -1x2 + x2
-3 + -2x + x2 = -1x2 + x2
Combine like terms: -1x2 + x2 = 0
-3 + -2x + x2 = 0
Factor a trinomial.
(-1 + -1x)(3 + -1x) = 0
Subproblem 1Set the factor '(-1 + -1x)' equal to zero and attempt to solve:
Simplifying
-1 + -1x = 0
Solving
-1 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1
Combine like terms: -1 + 1 = 0
0 + -1x = 0 + 1
-1x = 0 + 1
Combine like terms: 0 + 1 = 1
-1x = 1
Divide each side by '-1'.
x = -1
Simplifying
x = -1
Subproblem 2Set the factor '(3 + -1x)' equal to zero and attempt to solve:
Simplifying
3 + -1x = 0
Solving
3 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3
Combine like terms: 0 + -3 = -3
-1x = -3
Divide each side by '-1'.
x = 3
Simplifying
x = 3Solutionx = {-1, 3}</span>
Answer:
2.8
Step-by-step explanation:
If u divide 14 into 5, you get a decimal, 2.8.
500 pages, because 500 times .62 equals 310. 500 -310 = 190. Therefore, 500 total pages, and 190 pages without pictures
Hello from MrBillDoesMath!
Answer:
sqrt(105)
(which is approximately 10.25 centimeters
)
Discussion:
Call the unknown leg"a". From the Pythagorean theorem
8^2 + a^2 = 13^2 => subtract 8^2 = 64 from both sides
a^2 = 13^2 - 64 => as 13^2 = 169
a^2 = 169 - 64 = 105 => take the square root of both sides
a = sqrt(105) which is approximately 10.25 centimeters
Thank you,
MrB
Answer: x=3
Step-by-step explanation: