2x^2=-13x

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Solution for 2x^2=-13x equation:


Simplifying
2x2 = -13x

Solving
2x2 = -13x

Solving for variable 'x'.

Reorder the terms:
13x + 2x2 = -13x + 13x

Combine like terms: -13x + 13x = 0
13x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(13 + 2x) = 0

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 '(13 + 2x)' equal to zero and attempt to solve: Simplifying 13 + 2x = 0 Solving 13 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 0 + -13 2x = 0 + -13 Combine like terms: 0 + -13 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5

Solution

x = {0, -6.5}

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