(5x+3)(2x-12)=

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Solution for (5x+3)(2x-12)= equation: 


Simplifying
(5x + 3)(2x + -12) = 0

Reorder the terms:
(3 + 5x)(2x + -12) = 0

Reorder the terms:
(3 + 5x)(-12 + 2x) = 0

Multiply (3 + 5x) * (-12 + 2x)
(3(-12 + 2x) + 5x * (-12 + 2x)) = 0
((-12 * 3 + 2x * 3) + 5x * (-12 + 2x)) = 0
((-36 + 6x) + 5x * (-12 + 2x)) = 0
(-36 + 6x + (-12 * 5x + 2x * 5x)) = 0
(-36 + 6x + (-60x + 10x2)) = 0

Combine like terms: 6x + -60x = -54x
(-36 + -54x + 10x2) = 0

Solving
-36 + -54x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-18 + -27x + 5x2) = 0

Factor a trinomial.
2((-3 + -5x)(6 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve:

Simplifying
-3 + -5x = 0

Solving
-3 + -5x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -5x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 0 + 3
-5x = 0 + 3

Combine like terms: 0 + 3 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

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 = {-0.6, 6}

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