3x^2-x=-16x

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Solution for 3x^2-x=-16x equation:


Simplifying
3x2 + -1x = -16x

Reorder the terms:
-1x + 3x2 = -16x

Solving
-1x + 3x2 = -16x

Solving for variable 'x'.

Reorder the terms:
-1x + 16x + 3x2 = -16x + 16x

Combine like terms: -1x + 16x = 15x
15x + 3x2 = -16x + 16x

Combine like terms: -16x + 16x = 0
15x + 3x2 = 0

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