10x^2+25x*15=0

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Solution for 10x^2+25x*15=0 equation: 


Simplifying
10x2 + 25x * 15 = 0

Reorder the terms for easier multiplication:
10x2 + 25 * 15x = 0

Multiply 25 * 15
10x2 + 375x = 0

Reorder the terms:
375x + 10x2 = 0

Solving
375x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(75 + 2x) = 0

Ignore the factor 5.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(75 + 2x)' equal to zero and attempt to solve:

Simplifying
75 + 2x = 0

Solving
75 + 2x = 0

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

Add '-75' to each side of the equation.
75 + -75 + 2x = 0 + -75

Combine like terms: 75 + -75 = 0
0 + 2x = 0 + -75
2x = 0 + -75

Combine like terms: 0 + -75 = -75
2x = -75

Divide each side by '2'.
x = -37.5

Simplifying
x = -37.5
Solution
x = {0, -37.5}

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