2x^2-16x-x^2=0

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Solution for 2x^2-16x-x^2=0 equation:


Simplifying
2x2 + -16x + -1x2 = 0

Reorder the terms:
-16x + 2x2 + -1x2 = 0

Combine like terms: 2x2 + -1x2 = 1x2
-16x + 1x2 = 0

Solving
-16x + 1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-16 + 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 '(-16 + x)' equal to zero and attempt to solve: Simplifying -16 + x = 0 Solving -16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + x = 0 + 16 x = 0 + 16 Combine like terms: 0 + 16 = 16 x = 16 Simplifying x = 16

Solution

x = {0, 16}

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