(-7x-4)(2x-8)=

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Solution for (-7x-4)(2x-8)= equation: 


Simplifying
(-7x + -4)(2x + -8) = 0

Reorder the terms:
(-4 + -7x)(2x + -8) = 0

Reorder the terms:
(-4 + -7x)(-8 + 2x) = 0

Multiply (-4 + -7x) * (-8 + 2x)
(-4(-8 + 2x) + -7x * (-8 + 2x)) = 0
((-8 * -4 + 2x * -4) + -7x * (-8 + 2x)) = 0
((32 + -8x) + -7x * (-8 + 2x)) = 0
(32 + -8x + (-8 * -7x + 2x * -7x)) = 0
(32 + -8x + (56x + -14x2)) = 0

Combine like terms: -8x + 56x = 48x
(32 + 48x + -14x2) = 0

Solving
32 + 48x + -14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(16 + 24x + -7x2) = 0

Factor a trinomial.
2((4 + -1x)(4 + 7x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(4 + 7x)' equal to zero and attempt to solve:

Simplifying
4 + 7x = 0

Solving
4 + 7x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = 0 + -4
7x = 0 + -4

Combine like terms: 0 + -4 = -4
7x = -4

Divide each side by '7'.
x = -0.5714285714

Simplifying
x = -0.5714285714
Solution
x = {4, -0.5714285714}

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