x^2-1404x+33120=0

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Solution for x^2-1404x+33120=0 equation:


Simplifying
x2 + -1404x + 33120 = 0

Reorder the terms:
33120 + -1404x + x2 = 0

Solving
33120 + -1404x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(24 + -1x)(1380 + -1x) = 0

Subproblem 1

Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24

Subproblem 2

Set the factor '(1380 + -1x)' equal to zero and attempt to solve: Simplifying 1380 + -1x = 0 Solving 1380 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1380' to each side of the equation. 1380 + -1380 + -1x = 0 + -1380 Combine like terms: 1380 + -1380 = 0 0 + -1x = 0 + -1380 -1x = 0 + -1380 Combine like terms: 0 + -1380 = -1380 -1x = -1380 Divide each side by '-1'. x = 1380 Simplifying x = 1380

Solution

x = {24, 1380}

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