6x^2-13x=-x

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Solution for 6x^2-13x=-x equation:


Simplifying
6x2 + -13x = -1x

Reorder the terms:
-13x + 6x2 = -1x

Solving
-13x + 6x2 = -1x

Solving for variable 'x'.

Reorder the terms:
-13x + x + 6x2 = -1x + x

Combine like terms: -13x + x = -12x
-12x + 6x2 = -1x + x

Combine like terms: -1x + x = 0
-12x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-2 + x) = 0

Ignore the factor 6.

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

Solution

x = {0, 2}

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