(x-8)(10x+50)=

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Solution for (x-8)(10x+50)= equation: 


Simplifying
(x + -8)(10x + 50) = 0

Reorder the terms:
(-8 + x)(10x + 50) = 0

Reorder the terms:
(-8 + x)(50 + 10x) = 0

Multiply (-8 + x) * (50 + 10x)
(-8(50 + 10x) + x(50 + 10x)) = 0
((50 * -8 + 10x * -8) + x(50 + 10x)) = 0
((-400 + -80x) + x(50 + 10x)) = 0
(-400 + -80x + (50 * x + 10x * x)) = 0
(-400 + -80x + (50x + 10x2)) = 0

Combine like terms: -80x + 50x = -30x
(-400 + -30x + 10x2) = 0

Solving
-400 + -30x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-40 + -3x + x2) = 0

Factor a trinomial.
10((-5 + -1x)(8 + -1x)) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-5, 8}

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