(x-56)(2x+4)=0

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Solution for (x-56)(2x+4)=0 equation: 


Simplifying
(x + -56)(2x + 4) = 0

Reorder the terms:
(-56 + x)(2x + 4) = 0

Reorder the terms:
(-56 + x)(4 + 2x) = 0

Multiply (-56 + x) * (4 + 2x)
(-56(4 + 2x) + x(4 + 2x)) = 0
((4 * -56 + 2x * -56) + x(4 + 2x)) = 0
((-224 + -112x) + x(4 + 2x)) = 0
(-224 + -112x + (4 * x + 2x * x)) = 0
(-224 + -112x + (4x + 2x2)) = 0

Combine like terms: -112x + 4x = -108x
(-224 + -108x + 2x2) = 0

Solving
-224 + -108x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-112 + -54x + x2) = 0

Factor a trinomial.
2((-2 + -1x)(56 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 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 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(56 + -1x)' equal to zero and attempt to solve:

Simplifying
56 + -1x = 0

Solving
56 + -1x = 0

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

Add '-56' to each side of the equation.
56 + -56 + -1x = 0 + -56

Combine like terms: 56 + -56 = 0
0 + -1x = 0 + -56
-1x = 0 + -56

Combine like terms: 0 + -56 = -56
-1x = -56

Divide each side by '-1'.
x = 56

Simplifying
x = 56
Solution
x = {-2, 56}

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