15x^2=-6x

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Solution for 15x^2=-6x equation:


Simplifying
15x2 = -6x

Solving
15x2 = -6x

Solving for variable 'x'.

Reorder the terms:
6x + 15x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
6x + 15x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(2 + 5x) = 0

Ignore the factor 3.

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 '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4

Solution

x = {0, -0.4}

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