(11x+7)(4x-112)=0

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Solution for (11x+7)(4x-112)=0 equation: 


Simplifying
(11x + 7)(4x + -112) = 0

Reorder the terms:
(7 + 11x)(4x + -112) = 0

Reorder the terms:
(7 + 11x)(-112 + 4x) = 0

Multiply (7 + 11x) * (-112 + 4x)
(7(-112 + 4x) + 11x * (-112 + 4x)) = 0
((-112 * 7 + 4x * 7) + 11x * (-112 + 4x)) = 0
((-784 + 28x) + 11x * (-112 + 4x)) = 0
(-784 + 28x + (-112 * 11x + 4x * 11x)) = 0
(-784 + 28x + (-1232x + 44x2)) = 0

Combine like terms: 28x + -1232x = -1204x
(-784 + -1204x + 44x2) = 0

Solving
-784 + -1204x + 44x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-196 + -301x + 11x2) = 0

Factor a trinomial.
4((-7 + -11x)(28 + -1x)) = 0

Ignore the factor 4.

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

Simplifying
-7 + -11x = 0

Solving
-7 + -11x = 0

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

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

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

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

Divide each side by '-11'.
x = -0.6363636364

Simplifying
x = -0.6363636364

Subproblem 2
Set the factor '(28 + -1x)' equal to zero and attempt to solve:

Simplifying
28 + -1x = 0

Solving
28 + -1x = 0

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

Add '-28' to each side of the equation.
28 + -28 + -1x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -1x = 0 + -28
-1x = 0 + -28

Combine like terms: 0 + -28 = -28
-1x = -28

Divide each side by '-1'.
x = 28

Simplifying
x = 28
Solution
x = {-0.6363636364, 28}

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