(2x+2)(3x-11)=0

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Solution for (2x+2)(3x-11)=0 equation: 


Simplifying
(2x + 2)(3x + -11) = 0

Reorder the terms:
(2 + 2x)(3x + -11) = 0

Reorder the terms:
(2 + 2x)(-11 + 3x) = 0

Multiply (2 + 2x) * (-11 + 3x)
(2(-11 + 3x) + 2x * (-11 + 3x)) = 0
((-11 * 2 + 3x * 2) + 2x * (-11 + 3x)) = 0
((-22 + 6x) + 2x * (-11 + 3x)) = 0
(-22 + 6x + (-11 * 2x + 3x * 2x)) = 0
(-22 + 6x + (-22x + 6x2)) = 0

Combine like terms: 6x + -22x = -16x
(-22 + -16x + 6x2) = 0

Solving
-22 + -16x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-11 + -8x + 3x2) = 0

Factor a trinomial.
2((-1 + -1x)(11 + -3x)) = 0

Ignore the factor 2.

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 '(11 + -3x)' equal to zero and attempt to solve:

Simplifying
11 + -3x = 0

Solving
11 + -3x = 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 + -3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = 0 + -11
-3x = 0 + -11

Combine like terms: 0 + -11 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667
Solution
x = {-1, 3.666666667}

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