5(2x-10)(x+3)=0

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Solution for 5(2x-10)(x+3)=0 equation: 


Simplifying
5(2x + -10)(x + 3) = 0

Reorder the terms:
5(-10 + 2x)(x + 3) = 0

Reorder the terms:
5(-10 + 2x)(3 + x) = 0

Multiply (-10 + 2x) * (3 + x)
5(-10(3 + x) + 2x * (3 + x)) = 0
5((3 * -10 + x * -10) + 2x * (3 + x)) = 0
5((-30 + -10x) + 2x * (3 + x)) = 0
5(-30 + -10x + (3 * 2x + x * 2x)) = 0
5(-30 + -10x + (6x + 2x2)) = 0

Combine like terms: -10x + 6x = -4x
5(-30 + -4x + 2x2) = 0
(-30 * 5 + -4x * 5 + 2x2 * 5) = 0
(-150 + -20x + 10x2) = 0

Solving
-150 + -20x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-15 + -2x + x2) = 0

Factor a trinomial.
10((-3 + -1x)(5 + -1x)) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
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
Solution
x = {-3, 5}

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