Answer:
6x2 + 16x = 672
Reorder the terms:
16x + 16x2 = 672
Solving
16x + 16x2 = 672
Solving for variable 'x'.
Reorder the terms:
-672 + 16x + 16x2 = 672 + -672
Combine like terms: 672 + -672 = 0
-672 + 16x + 16x2 = 0
Factor out the Greatest Common Factor (GCF), '16'.
16(-42 + x + x2) = 0
Factor a trinomial.
16((-7 + -1x)(6 + -1x)) = 0
Ignore the factor 16.
Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:
Simplifying
-7 + -1x = 0
Solving
-7 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7
Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7
Combine like terms: 0 + 7 = 7
-1x = 7
Divide each side by '-1'.
x = -7
Simplifying
x = -7
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:
Simplifying
6 + -1x = 0
Solving
6 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6
Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6
Combine like terms: 0 + -6 = -6
-1x = -6
Divide each side by '-1'.
x = 6
Simplifying
x = 6
Solution
x = {-7, 6}
Step-by-step explanation:
