(16+2x)(20+2x)=896

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Solution for (16+2x)(20+2x)=896 equation: 


Simplifying
(16 + 2x)(20 + 2x) = 896

Multiply (16 + 2x) * (20 + 2x)
(16(20 + 2x) + 2x * (20 + 2x)) = 896
((20 * 16 + 2x * 16) + 2x * (20 + 2x)) = 896
((320 + 32x) + 2x * (20 + 2x)) = 896
(320 + 32x + (20 * 2x + 2x * 2x)) = 896
(320 + 32x + (40x + 4x2)) = 896

Combine like terms: 32x + 40x = 72x
(320 + 72x + 4x2) = 896

Solving
320 + 72x + 4x2 = 896

Solving for variable 'x'.

Reorder the terms:
320 + -896 + 72x + 4x2 = 896 + -896

Combine like terms: 320 + -896 = -576
-576 + 72x + 4x2 = 896 + -896

Combine like terms: 896 + -896 = 0
-576 + 72x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-144 + 18x + x2) = 0

Factor a trinomial.
4((-24 + -1x)(6 + -1x)) = 0

Ignore the factor 4.

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 '(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 = {-24, 6}

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