128x-x^2-960=0

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Solution for 128x-x^2-960=0 equation:


Simplifying
128x + -1x2 + -960 = 0

Reorder the terms:
-960 + 128x + -1x2 = 0

Solving
-960 + 128x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-120 + x)(8 + -1x) = 0

Subproblem 1

Set the factor '(-120 + x)' equal to zero and attempt to solve: Simplifying -120 + x = 0 Solving -120 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 120 + x = 0 + 120 Combine like terms: -120 + 120 = 0 0 + x = 0 + 120 x = 0 + 120 Combine like terms: 0 + 120 = 120 x = 120 Simplifying x = 120

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {120, 8}

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