10x^2=-5x

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Solution for 10x^2=-5x equation:


Simplifying
10x2 = -5x

Solving
10x2 = -5x

Solving for variable 'x'.

Reorder the terms:
5x + 10x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
5x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(1 + 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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5

Solution

x = {0, -0.5}

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