(7x+1)(2x-2)=

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Solution for (7x+1)(2x-2)= equation: 


Simplifying
(7x + 1)(2x + -2) = 0

Reorder the terms:
(1 + 7x)(2x + -2) = 0

Reorder the terms:
(1 + 7x)(-2 + 2x) = 0

Multiply (1 + 7x) * (-2 + 2x)
(1(-2 + 2x) + 7x * (-2 + 2x)) = 0
((-2 * 1 + 2x * 1) + 7x * (-2 + 2x)) = 0
((-2 + 2x) + 7x * (-2 + 2x)) = 0
(-2 + 2x + (-2 * 7x + 2x * 7x)) = 0
(-2 + 2x + (-14x + 14x2)) = 0

Combine like terms: 2x + -14x = -12x
(-2 + -12x + 14x2) = 0

Solving
-2 + -12x + 14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -6x + 7x2) = 0

Factor a trinomial.
2((-1 + -7x)(1 + -1x)) = 0

Ignore the factor 2.

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

Simplifying
-1 + -7x = 0

Solving
-1 + -7x = 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 + -7x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -7x = 0 + 1
-7x = 0 + 1

Combine like terms: 0 + 1 = 1
-7x = 1

Divide each side by '-7'.
x = -0.1428571429

Simplifying
x = -0.1428571429

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 = {-0.1428571429, 1}

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