2x^2-6x^2-20x=0

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Solution for 2x^2-6x^2-20x=0 equation:


Simplifying
2x2 + -6x2 + -20x = 0

Reorder the terms:
-20x + 2x2 + -6x2 = 0

Combine like terms: 2x2 + -6x2 = -4x2
-20x + -4x2 = 0

Solving
-20x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-4x'.
-4x(5 + x) = 0

Ignore the factor -4.

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 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Solution

x = {0, -5}

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