x-6x=-x^2

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


Simplifying
x + -6x = -1x2

Combine like terms: x + -6x = -5x
-5x = -1x2

Solving
-5x = -1x2

Solving for variable 'x'.

Combine like terms: -1x2 + x2 = 0
-5x + x2 = 0

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