-3x^2+525x-19602=0

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Solution for -3x^2+525x-19602=0 equation:


Simplifying
-3x2 + 525x + -19602 = 0

Reorder the terms:
-19602 + 525x + -3x2 = 0

Solving
-19602 + 525x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-6534 + 175x + -1x2) = 0

Factor a trinomial.
3((-121 + x)(54 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-121 + x)' equal to zero and attempt to solve: Simplifying -121 + x = 0 Solving -121 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '121' to each side of the equation. -121 + 121 + x = 0 + 121 Combine like terms: -121 + 121 = 0 0 + x = 0 + 121 x = 0 + 121 Combine like terms: 0 + 121 = 121 x = 121 Simplifying x = 121

Subproblem 2

Set the factor '(54 + -1x)' equal to zero and attempt to solve: Simplifying 54 + -1x = 0 Solving 54 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -1x = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -1x = 0 + -54 -1x = 0 + -54 Combine like terms: 0 + -54 = -54 -1x = -54 Divide each side by '-1'. x = 54 Simplifying x = 54

Solution

x = {121, 54}

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