5(x+5)(x-10)=

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Solution for 5(x+5)(x-10)= equation: 


Simplifying
5(x + 5)(x + -10) = 0

Reorder the terms:
5(5 + x)(x + -10) = 0

Reorder the terms:
5(5 + x)(-10 + x) = 0

Multiply (5 + x) * (-10 + x)
5(5(-10 + x) + x(-10 + x)) = 0
5((-10 * 5 + x * 5) + x(-10 + x)) = 0
5((-50 + 5x) + x(-10 + x)) = 0
5(-50 + 5x + (-10 * x + x * x)) = 0
5(-50 + 5x + (-10x + x2)) = 0

Combine like terms: 5x + -10x = -5x
5(-50 + -5x + x2) = 0
(-50 * 5 + -5x * 5 + x2 * 5) = 0
(-250 + -25x + 5x2) = 0

Solving
-250 + -25x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-50 + -5x + x2) = 0

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

Ignore the factor 5.

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 '(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
Solution
x = {-5, 10}

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