(7x-2)(6x+4)=

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Solution for (7x-2)(6x+4)= equation: 


Simplifying
(7x + -2)(6x + 4) = 0

Reorder the terms:
(-2 + 7x)(6x + 4) = 0

Reorder the terms:
(-2 + 7x)(4 + 6x) = 0

Multiply (-2 + 7x) * (4 + 6x)
(-2(4 + 6x) + 7x * (4 + 6x)) = 0
((4 * -2 + 6x * -2) + 7x * (4 + 6x)) = 0
((-8 + -12x) + 7x * (4 + 6x)) = 0
(-8 + -12x + (4 * 7x + 6x * 7x)) = 0
(-8 + -12x + (28x + 42x2)) = 0

Combine like terms: -12x + 28x = 16x
(-8 + 16x + 42x2) = 0

Solving
-8 + 16x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 8x + 21x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve:

Simplifying
-2 + -3x = 0

Solving
-2 + -3x = 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 + -3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 0 + 2
-3x = 0 + 2

Combine like terms: 0 + 2 = 2
-3x = 2

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

Subproblem 2
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
Solution
x = {-0.6666666667, 0.2857142857}

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