(4x-4)(x+11)=0

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Solution for (4x-4)(x+11)=0 equation: 


Simplifying
(4x + -4)(x + 11) = 0

Reorder the terms:
(-4 + 4x)(x + 11) = 0

Reorder the terms:
(-4 + 4x)(11 + x) = 0

Multiply (-4 + 4x) * (11 + x)
(-4(11 + x) + 4x * (11 + x)) = 0
((11 * -4 + x * -4) + 4x * (11 + x)) = 0
((-44 + -4x) + 4x * (11 + x)) = 0
(-44 + -4x + (11 * 4x + x * 4x)) = 0
(-44 + -4x + (44x + 4x2)) = 0

Combine like terms: -4x + 44x = 40x
(-44 + 40x + 4x2) = 0

Solving
-44 + 40x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-11 + 10x + x2) = 0

Factor a trinomial.
4((-11 + -1x)(1 + -1x)) = 0

Ignore the factor 4.

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

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 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 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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 = {-11, 1}

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