-4x^2+808x-9120=0

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Solution for -4x^2+808x-9120=0 equation:


Simplifying
-4x2 + 808x + -9120 = 0

Reorder the terms:
-9120 + 808x + -4x2 = 0

Solving
-9120 + 808x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2280 + 202x + -1x2) = 0

Factor a trinomial.
4((-190 + x)(12 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-190 + x)' equal to zero and attempt to solve: Simplifying -190 + x = 0 Solving -190 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '190' to each side of the equation. -190 + 190 + x = 0 + 190 Combine like terms: -190 + 190 = 0 0 + x = 0 + 190 x = 0 + 190 Combine like terms: 0 + 190 = 190 x = 190 Simplifying x = 190

Subproblem 2

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {190, 12}

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