x^2-6x=x(8+3)

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Solution for x^2-6x=x(8+3) equation:


Simplifying
x2 + -6x = x(8 + 3)

Reorder the terms:
-6x + x2 = x(8 + 3)

Combine like terms: 8 + 3 = 11
-6x + x2 = x(11)

Reorder the terms for easier multiplication:
-6x + x2 = 11x

Solving
-6x + x2 = 11x

Solving for variable 'x'.

Reorder the terms:
-6x + -11x + x2 = 11x + -11x

Combine like terms: -6x + -11x = -17x
-17x + x2 = 11x + -11x

Combine like terms: 11x + -11x = 0
-17x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-17 + 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 '(-17 + x)' equal to zero and attempt to solve: Simplifying -17 + x = 0 Solving -17 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + x = 0 + 17 x = 0 + 17 Combine like terms: 0 + 17 = 17 x = 17 Simplifying x = 17

Solution

x = {0, 17}

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