(2x-12)(8x+10)=0

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Solution for (2x-12)(8x+10)=0 equation: 


Simplifying
(2x + -12)(8x + 10) = 0

Reorder the terms:
(-12 + 2x)(8x + 10) = 0

Reorder the terms:
(-12 + 2x)(10 + 8x) = 0

Multiply (-12 + 2x) * (10 + 8x)
(-12(10 + 8x) + 2x * (10 + 8x)) = 0
((10 * -12 + 8x * -12) + 2x * (10 + 8x)) = 0
((-120 + -96x) + 2x * (10 + 8x)) = 0
(-120 + -96x + (10 * 2x + 8x * 2x)) = 0
(-120 + -96x + (20x + 16x2)) = 0

Combine like terms: -96x + 20x = -76x
(-120 + -76x + 16x2) = 0

Solving
-120 + -76x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-30 + -19x + 4x2) = 0

Factor a trinomial.
4((-5 + -4x)(6 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-5 + -4x)' equal to zero and attempt to solve:

Simplifying
-5 + -4x = 0

Solving
-5 + -4x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -4x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = 0 + 5
-4x = 0 + 5

Combine like terms: 0 + 5 = 5
-4x = 5

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-1.25, 6}

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