(6x-36)(4x+316)=0

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Solution for (6x-36)(4x+316)=0 equation: 


Simplifying
(6x + -36)(4x + 316) = 0

Reorder the terms:
(-36 + 6x)(4x + 316) = 0

Reorder the terms:
(-36 + 6x)(316 + 4x) = 0

Multiply (-36 + 6x) * (316 + 4x)
(-36(316 + 4x) + 6x * (316 + 4x)) = 0
((316 * -36 + 4x * -36) + 6x * (316 + 4x)) = 0
((-11376 + -144x) + 6x * (316 + 4x)) = 0
(-11376 + -144x + (316 * 6x + 4x * 6x)) = 0
(-11376 + -144x + (1896x + 24x2)) = 0

Combine like terms: -144x + 1896x = 1752x
(-11376 + 1752x + 24x2) = 0

Solving
-11376 + 1752x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '24'.
24(-474 + 73x + x2) = 0

Factor a trinomial.
24((-79 + -1x)(6 + -1x)) = 0

Ignore the factor 24.

Subproblem 1
Set the factor '(-79 + -1x)' equal to zero and attempt to solve:

Simplifying
-79 + -1x = 0

Solving
-79 + -1x = 0

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

Add '79' to each side of the equation.
-79 + 79 + -1x = 0 + 79

Combine like terms: -79 + 79 = 0
0 + -1x = 0 + 79
-1x = 0 + 79

Combine like terms: 0 + 79 = 79
-1x = 79

Divide each side by '-1'.
x = -79

Simplifying
x = -79

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 = {-79, 6}

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