(18-2x)(16-2x)=168

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Solution for (18-2x)(16-2x)=168 equation: 


Simplifying
(18 + -2x)(16 + -2x) = 168

Multiply (18 + -2x) * (16 + -2x)
(18(16 + -2x) + -2x * (16 + -2x)) = 168
((16 * 18 + -2x * 18) + -2x * (16 + -2x)) = 168
((288 + -36x) + -2x * (16 + -2x)) = 168
(288 + -36x + (16 * -2x + -2x * -2x)) = 168
(288 + -36x + (-32x + 4x2)) = 168

Combine like terms: -36x + -32x = -68x
(288 + -68x + 4x2) = 168

Solving
288 + -68x + 4x2 = 168

Solving for variable 'x'.

Reorder the terms:
288 + -168 + -68x + 4x2 = 168 + -168

Combine like terms: 288 + -168 = 120
120 + -68x + 4x2 = 168 + -168

Combine like terms: 168 + -168 = 0
120 + -68x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(30 + -17x + x2) = 0

Factor a trinomial.
4((2 + -1x)(15 + -1x)) = 0

Ignore the factor 4.

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {2, 15}

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