(2x-20)(6x-32)=

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Solution for (2x-20)(6x-32)= equation: 


Simplifying
(2x + -20)(6x + -32) = 0

Reorder the terms:
(-20 + 2x)(6x + -32) = 0

Reorder the terms:
(-20 + 2x)(-32 + 6x) = 0

Multiply (-20 + 2x) * (-32 + 6x)
(-20(-32 + 6x) + 2x * (-32 + 6x)) = 0
((-32 * -20 + 6x * -20) + 2x * (-32 + 6x)) = 0
((640 + -120x) + 2x * (-32 + 6x)) = 0
(640 + -120x + (-32 * 2x + 6x * 2x)) = 0
(640 + -120x + (-64x + 12x2)) = 0

Combine like terms: -120x + -64x = -184x
(640 + -184x + 12x2) = 0

Solving
640 + -184x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(160 + -46x + 3x2) = 0

Factor a trinomial.
4((16 + -3x)(10 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(16 + -3x)' equal to zero and attempt to solve:

Simplifying
16 + -3x = 0

Solving
16 + -3x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -3x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = 0 + -16
-3x = 0 + -16

Combine like terms: 0 + -16 = -16
-3x = -16

Divide each side by '-3'.
x = 5.333333333

Simplifying
x = 5.333333333

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 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 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {5.333333333, 10}

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