(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 = -40x
(8 + -40x + 42x2) = 0

Solving
8 + -40x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -20x + 21x2) = 0

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

Ignore the factor 2.

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 + -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
Solution
x = {0.2857142857, 0.6666666667}

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