(6x+3)(7x-12)=

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Solution for (6x+3)(7x-12)= equation: 


Simplifying
(6x + 3)(7x + -12) = 0

Reorder the terms:
(3 + 6x)(7x + -12) = 0

Reorder the terms:
(3 + 6x)(-12 + 7x) = 0

Multiply (3 + 6x) * (-12 + 7x)
(3(-12 + 7x) + 6x * (-12 + 7x)) = 0
((-12 * 3 + 7x * 3) + 6x * (-12 + 7x)) = 0
((-36 + 21x) + 6x * (-12 + 7x)) = 0
(-36 + 21x + (-12 * 6x + 7x * 6x)) = 0
(-36 + 21x + (-72x + 42x2)) = 0

Combine like terms: 21x + -72x = -51x
(-36 + -51x + 42x2) = 0

Solving
-36 + -51x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-12 + -17x + 14x2) = 0

Factor a trinomial.
3((-1 + -2x)(12 + -7x)) = 0

Ignore the factor 3.

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 '(12 + -7x)' equal to zero and attempt to solve:

Simplifying
12 + -7x = 0

Solving
12 + -7x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -7x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = 0 + -12
-7x = 0 + -12

Combine like terms: 0 + -12 = -12
-7x = -12

Divide each side by '-7'.
x = 1.714285714

Simplifying
x = 1.714285714
Solution
x = {-0.5, 1.714285714}

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