(12+2x)(16+2x)=285

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Solution for (12+2x)(16+2x)=285 equation: 


Simplifying
(12 + 2x)(16 + 2x) = 285

Multiply (12 + 2x) * (16 + 2x)
(12(16 + 2x) + 2x * (16 + 2x)) = 285
((16 * 12 + 2x * 12) + 2x * (16 + 2x)) = 285
((192 + 24x) + 2x * (16 + 2x)) = 285
(192 + 24x + (16 * 2x + 2x * 2x)) = 285
(192 + 24x + (32x + 4x2)) = 285

Combine like terms: 24x + 32x = 56x
(192 + 56x + 4x2) = 285

Solving
192 + 56x + 4x2 = 285

Solving for variable 'x'.

Reorder the terms:
192 + -285 + 56x + 4x2 = 285 + -285

Combine like terms: 192 + -285 = -93
-93 + 56x + 4x2 = 285 + -285

Combine like terms: 285 + -285 = 0
-93 + 56x + 4x2 = 0

Factor a trinomial.
(-31 + -2x)(3 + -2x) = 0


Subproblem 1
Set the factor '(-31 + -2x)' equal to zero and attempt to solve:

Simplifying
-31 + -2x = 0

Solving
-31 + -2x = 0

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

Add '31' to each side of the equation.
-31 + 31 + -2x = 0 + 31

Combine like terms: -31 + 31 = 0
0 + -2x = 0 + 31
-2x = 0 + 31

Combine like terms: 0 + 31 = 31
-2x = 31

Divide each side by '-2'.
x = -15.5

Simplifying
x = -15.5

Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-15.5, 1.5}

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