20x-6x=x^2

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Solution for 20x-6x=x^2 equation:


Simplifying
20x + -6x = x2

Combine like terms: 20x + -6x = 14x
14x = x2

Solving
14x = x2

Solving for variable 'x'.

Combine like terms: x2 + -1x2 = 0
14x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(14 + -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 '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14

Solution

x = {0, 14}

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