(2x-2)(7x+11)=0

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Solution for (2x-2)(7x+11)=0 equation: 


Simplifying
(2x + -2)(7x + 11) = 0

Reorder the terms:
(-2 + 2x)(7x + 11) = 0

Reorder the terms:
(-2 + 2x)(11 + 7x) = 0

Multiply (-2 + 2x) * (11 + 7x)
(-2(11 + 7x) + 2x * (11 + 7x)) = 0
((11 * -2 + 7x * -2) + 2x * (11 + 7x)) = 0
((-22 + -14x) + 2x * (11 + 7x)) = 0
(-22 + -14x + (11 * 2x + 7x * 2x)) = 0
(-22 + -14x + (22x + 14x2)) = 0

Combine like terms: -14x + 22x = 8x
(-22 + 8x + 14x2) = 0

Solving
-22 + 8x + 14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-11 + 4x + 7x2) = 0

Factor a trinomial.
2((-11 + -7x)(1 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-11 + -7x)' equal to zero and attempt to solve:

Simplifying
-11 + -7x = 0

Solving
-11 + -7x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -7x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -7x = 0 + 11
-7x = 0 + 11

Combine like terms: 0 + 11 = 11
-7x = 11

Divide each side by '-7'.
x = -1.571428571

Simplifying
x = -1.571428571

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 = {-1.571428571, 1}

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