-13x^2+1300x-27300=0

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Solution for -13x^2+1300x-27300=0 equation:


Simplifying
-13x2 + 1300x + -27300 = 0

Reorder the terms:
-27300 + 1300x + -13x2 = 0

Solving
-27300 + 1300x + -13x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '13'.
13(-2100 + 100x + -1x2) = 0

Factor a trinomial.
13((-70 + x)(30 + -1x)) = 0

Ignore the factor 13.

Subproblem 1

Set the factor '(-70 + x)' equal to zero and attempt to solve: Simplifying -70 + x = 0 Solving -70 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + x = 0 + 70 Combine like terms: -70 + 70 = 0 0 + x = 0 + 70 x = 0 + 70 Combine like terms: 0 + 70 = 70 x = 70 Simplifying x = 70

Subproblem 2

Set the factor '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30

Solution

x = {70, 30}

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