(7x-7)(6x-8)=

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Solution for (7x-7)(6x-8)= equation:


Simplifying
(7x + -7)(6x + -8) = 0

Reorder the terms:
(-7 + 7x)(6x + -8) = 0

Reorder the terms:
(-7 + 7x)(-8 + 6x) = 0

Multiply (-7 + 7x) * (-8 + 6x)
(-7(-8 + 6x) + 7x * (-8 + 6x)) = 0
((-8 * -7 + 6x * -7) + 7x * (-8 + 6x)) = 0
((56 + -42x) + 7x * (-8 + 6x)) = 0
(56 + -42x + (-8 * 7x + 6x * 7x)) = 0
(56 + -42x + (-56x + 42x2)) = 0

Combine like terms: -42x + -56x = -98x
(56 + -98x + 42x2) = 0

Solving
56 + -98x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '14'.
14(4 + -7x + 3x2) = 0

Factor a trinomial.
14((1 + -1x)(4 + -3x)) = 0

Ignore the factor 14.

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {1, 1.333333333}

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