2x^2=6x-11x

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Solution for 2x^2=6x-11x equation:


Simplifying
2x2 = 6x + -11x

Combine like terms: 6x + -11x = -5x
2x2 = -5x

Solving
2x2 = -5x

Solving for variable 'x'.

Reorder the terms:
5x + 2x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
5x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + 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 '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5

Solution

x = {0, -2.5}

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