-3x^2-35x=x

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Solution for -3x^2-35x=x equation:


Simplifying
-3x2 + -35x = x

Reorder the terms:
-35x + -3x2 = x

Solving
-35x + -3x2 = x

Solving for variable 'x'.

Reorder the terms:
-35x + -1x + -3x2 = x + -1x

Combine like terms: -35x + -1x = -36x
-36x + -3x2 = x + -1x

Combine like terms: x + -1x = 0
-36x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '-3x'.
-3x(12 + 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 '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12

Solution

x = {0, -12}

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