2x^2-16x=10x

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Solution for 2x^2-16x=10x equation:


Simplifying
2x2 + -16x = 10x

Reorder the terms:
-16x + 2x2 = 10x

Solving
-16x + 2x2 = 10x

Solving for variable 'x'.

Reorder the terms:
-16x + -10x + 2x2 = 10x + -10x

Combine like terms: -16x + -10x = -26x
-26x + 2x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-26x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-13 + x) = 0

Ignore the factor 2.

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 + x)' equal to zero and attempt to solve: Simplifying -13 + x = 0 Solving -13 + x = 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 + x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + x = 0 + 13 x = 0 + 13 Combine like terms: 0 + 13 = 13 x = 13 Simplifying x = 13

Solution

x = {0, 13}

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