2x^2(x-10+25)=0

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Solution for 2x^2(x-10+25)=0 equation: 


Simplifying
2x2(x + -10 + 25) = 0

Reorder the terms:
2x2(-10 + 25 + x) = 0

Combine like terms: -10 + 25 = 15
2x2(15 + x) = 0
(15 * 2x2 + x * 2x2) = 0
(30x2 + 2x3) = 0

Solving
30x2 + 2x3 = 0

Solving for variable 'x'.

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

Ignore the factor 2.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(15 + x)' equal to zero and attempt to solve:

Simplifying
15 + x = 0

Solving
15 + x = 0

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

Add '-15' to each side of the equation.
15 + -15 + x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + x = 0 + -15
x = 0 + -15

Combine like terms: 0 + -15 = -15
x = -15

Simplifying
x = -15
Solution
x = {0, -15}

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