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

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


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

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

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

Solving
285 = 192 + 56x + 4x2

Solving for variable 'x'.

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

Reorder the terms:
93 + -56x + -4x2 = 192 + -192 + 56x + -56x + 4x2 + -4x2

Combine like terms: 192 + -192 = 0
93 + -56x + -4x2 = 0 + 56x + -56x + 4x2 + -4x2
93 + -56x + -4x2 = 56x + -56x + 4x2 + -4x2

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

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

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {1.5, -15.5}

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