14x-x^2=x

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Solution for 14x-x^2=x equation:


Simplifying
14x + -1x2 = x

Solving
14x + -1x2 = x

Solving for variable 'x'.

Reorder the terms:
14x + -1x + -1x2 = x + -1x

Combine like terms: 14x + -1x = 13x
13x + -1x2 = x + -1x

Combine like terms: x + -1x = 0
13x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(13 + -1x) = 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 '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13

Solution

x = {0, 13}

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