(7x+2)(3x-6)=

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Solution for (7x+2)(3x-6)= equation: 


Simplifying
(7x + 2)(3x + -6) = 0

Reorder the terms:
(2 + 7x)(3x + -6) = 0

Reorder the terms:
(2 + 7x)(-6 + 3x) = 0

Multiply (2 + 7x) * (-6 + 3x)
(2(-6 + 3x) + 7x * (-6 + 3x)) = 0
((-6 * 2 + 3x * 2) + 7x * (-6 + 3x)) = 0
((-12 + 6x) + 7x * (-6 + 3x)) = 0
(-12 + 6x + (-6 * 7x + 3x * 7x)) = 0
(-12 + 6x + (-42x + 21x2)) = 0

Combine like terms: 6x + -42x = -36x
(-12 + -36x + 21x2) = 0

Solving
-12 + -36x + 21x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-4 + -12x + 7x2) = 0

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

Ignore the factor 3.

Subproblem 1
Set the factor '(-2 + -7x)' equal to zero and attempt to solve:

Simplifying
-2 + -7x = 0

Solving
-2 + -7x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -7x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = 0 + 2
-7x = 0 + 2

Combine like terms: 0 + 2 = 2
-7x = 2

Divide each side by '-7'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-0.2857142857, 2}

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