Answer:
Simplifying
x2 = 16x + -28
Reorder the terms:
x2 = -28 + 16x
Solving
x2 = -28 + 16x
Solving for variable 'x'.
Reorder the terms:
28 + -16x + x2 = -28 + 16x + 28 + -16x
Reorder the terms:
28 + -16x + x2 = -28 + 28 + 16x + -16x
Combine like terms: -28 + 28 = 0
28 + -16x + x2 = 0 + 16x + -16x
28 + -16x + x2 = 16x + -16x
Combine like terms: 16x + -16x = 0
28 + -16x + x2 = 0
Factor a trinomial.
(2 + -1x)(14 + -1x) = 0
Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:
Simplifying
2 + -1x = 0
Solving
2 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2
Combine like terms: 0 + -2 = -2
-1x = -2
Divide each side by '-1'.
x = 2
Simplifying
x = 2
Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:
Simplifying
14 + -1x = 0
Solving
14 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14
Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14
Combine like terms: 0 + -14 = -14
-1x = -14
Divide each side by '-1'.
x = 14
Simplifying
x = 14
Solution
x = {2, 14}
Step-by-step explanation:
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