(7x-6)(6x-14)=

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Solution for (7x-6)(6x-14)= equation: 


Simplifying
(7x + -6)(6x + -14) = 0

Reorder the terms:
(-6 + 7x)(6x + -14) = 0

Reorder the terms:
(-6 + 7x)(-14 + 6x) = 0

Multiply (-6 + 7x) * (-14 + 6x)
(-6(-14 + 6x) + 7x * (-14 + 6x)) = 0
((-14 * -6 + 6x * -6) + 7x * (-14 + 6x)) = 0
((84 + -36x) + 7x * (-14 + 6x)) = 0
(84 + -36x + (-14 * 7x + 6x * 7x)) = 0
(84 + -36x + (-98x + 42x2)) = 0

Combine like terms: -36x + -98x = -134x
(84 + -134x + 42x2) = 0

Solving
84 + -134x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(42 + -67x + 21x2) = 0

Factor a trinomial.
2((6 + -7x)(7 + -3x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(6 + -7x)' equal to zero and attempt to solve:

Simplifying
6 + -7x = 0

Solving
6 + -7x = 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 + -7x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 0 + -6
-7x = 0 + -6

Combine like terms: 0 + -6 = -6
-7x = -6

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571

Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {0.8571428571, 2.333333333}

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