-10x^2+3500x-66000=0

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Solution for -10x^2+3500x-66000=0 equation:


Simplifying
-10x2 + 3500x + -66000 = 0

Reorder the terms:
-66000 + 3500x + -10x2 = 0

Solving
-66000 + 3500x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-6600 + 350x + -1x2) = 0

Factor a trinomial.
10((-330 + x)(20 + -1x)) = 0

Ignore the factor 10.

Subproblem 1

Set the factor '(-330 + x)' equal to zero and attempt to solve: Simplifying -330 + x = 0 Solving -330 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '330' to each side of the equation. -330 + 330 + x = 0 + 330 Combine like terms: -330 + 330 = 0 0 + x = 0 + 330 x = 0 + 330 Combine like terms: 0 + 330 = 330 x = 330 Simplifying x = 330

Subproblem 2

Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20

Solution

x = {330, 20}

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