(8+2x)(x)=960

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Solution for (8+2x)(x)=960 equation: 


Simplifying
(8 + 2x)(x) = 960

Reorder the terms for easier multiplication:
x(8 + 2x) = 960
(8 * x + 2x * x) = 960
(8x + 2x2) = 960

Solving
8x + 2x2 = 960

Solving for variable 'x'.

Reorder the terms:
-960 + 8x + 2x2 = 960 + -960

Combine like terms: 960 + -960 = 0
-960 + 8x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-480 + 4x + x2) = 0

Factor a trinomial.
2((-24 + -1x)(20 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-24 + -1x)' equal to zero and attempt to solve:

Simplifying
-24 + -1x = 0

Solving
-24 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '24' to each side of the equation.
-24 + 24 + -1x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -1x = 0 + 24
-1x = 0 + 24

Combine like terms: 0 + 24 = 24
-1x = 24

Divide each side by '-1'.
x = -24

Simplifying
x = -24

Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-24, 20}

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