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

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Solution for (7x-7)(6x+4)=0 equation: 


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

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

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

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

Combine like terms: -42x + 28x = -14x
(-28 + -14x + 42x2) = 0

Solving
-28 + -14x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '14'.
14(-2 + -1x + 3x2) = 0

Factor a trinomial.
14((-2 + -3x)(1 + -1x)) = 0

Ignore the factor 14.

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 '(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
Solution
x = {-0.6666666667, 1}

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