=(18x-20)(-12x-6)

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Solution for =(18x-20)(-12x-6) equation: 


Simplifying
0 = (18x + -20)(-12x + -6)

Reorder the terms:
0 = (-20 + 18x)(-12x + -6)

Reorder the terms:
0 = (-20 + 18x)(-6 + -12x)

Multiply (-20 + 18x) * (-6 + -12x)
0 = (-20(-6 + -12x) + 18x * (-6 + -12x))
0 = ((-6 * -20 + -12x * -20) + 18x * (-6 + -12x))
0 = ((120 + 240x) + 18x * (-6 + -12x))
0 = (120 + 240x + (-6 * 18x + -12x * 18x))
0 = (120 + 240x + (-108x + -216x2))

Combine like terms: 240x + -108x = 132x
0 = (120 + 132x + -216x2)

Solving
0 = 120 + 132x + -216x2

Solving for variable 'x'.

Combine like terms: 0 + -120 = -120
-120 + -132x + 216x2 = 120 + 132x + -216x2 + -120 + -132x + 216x2

Reorder the terms:
-120 + -132x + 216x2 = 120 + -120 + 132x + -132x + -216x2 + 216x2

Combine like terms: 120 + -120 = 0
-120 + -132x + 216x2 = 0 + 132x + -132x + -216x2 + 216x2
-120 + -132x + 216x2 = 132x + -132x + -216x2 + 216x2

Combine like terms: 132x + -132x = 0
-120 + -132x + 216x2 = 0 + -216x2 + 216x2
-120 + -132x + 216x2 = -216x2 + 216x2

Combine like terms: -216x2 + 216x2 = 0
-120 + -132x + 216x2 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(-10 + -11x + 18x2) = 0

Factor a trinomial.
12((-1 + -2x)(10 + -9x)) = 0

Ignore the factor 12.

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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 0

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

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

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

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

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
Set the factor '(10 + -9x)' equal to zero and attempt to solve:

Simplifying
10 + -9x = 0

Solving
10 + -9x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -9x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = 0 + -10
-9x = 0 + -10

Combine like terms: 0 + -10 = -10
-9x = -10

Divide each side by '-9'.
x = 1.111111111

Simplifying
x = 1.111111111
Solution
x = {-0.5, 1.111111111}

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