(x+10)(4x-8)=

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Solution for (x+10)(4x-8)= equation: 


Simplifying
(x + 10)(4x + -8) = 0

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

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

Multiply (10 + x) * (-8 + 4x)
(10(-8 + 4x) + x(-8 + 4x)) = 0
((-8 * 10 + 4x * 10) + x(-8 + 4x)) = 0
((-80 + 40x) + x(-8 + 4x)) = 0
(-80 + 40x + (-8 * x + 4x * x)) = 0
(-80 + 40x + (-8x + 4x2)) = 0

Combine like terms: 40x + -8x = 32x
(-80 + 32x + 4x2) = 0

Solving
-80 + 32x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-20 + 8x + x2) = 0

Factor a trinomial.
4((-10 + -1x)(2 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
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
Solution
x = {-10, 2}

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