2x^2-x-528=0

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Solution for 2x^2-x-528=0 equation:


Simplifying
2x2 + -1x + -528 = 0

Reorder the terms:
-528 + -1x + 2x2 = 0

Solving
-528 + -1x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-16 + -1x)(33 + -2x) = 0

Subproblem 1

Set the factor '(-16 + -1x)' equal to zero and attempt to solve: Simplifying -16 + -1x = 0 Solving -16 + -1x = 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 + -1x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = 0 + 16 -1x = 0 + 16 Combine like terms: 0 + 16 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16

Subproblem 2

Set the factor '(33 + -2x)' equal to zero and attempt to solve: Simplifying 33 + -2x = 0 Solving 33 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -2x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -2x = 0 + -33 -2x = 0 + -33 Combine like terms: 0 + -33 = -33 -2x = -33 Divide each side by '-2'. x = 16.5 Simplifying x = 16.5

Solution

x = {-16, 16.5}

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