-5x^2-75x=0

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Solution for -5x^2-75x=0 equation:


Simplifying
-5x2 + -75x = 0

Reorder the terms:
-75x + -5x2 = 0

Solving
-75x + -5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-5x'.
-5x(15 + x) = 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 '(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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