-18x^2+6400x-175800=

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Solution for -18x^2+6400x-175800= equation:


Simplifying
-18x2 + 6400x + -175800 = 0

Reorder the terms:
-175800 + 6400x + -18x2 = 0

Solving
-175800 + 6400x + -18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-87900 + 3200x + -9x2) = 0

Factor a trinomial.
2((-2930 + 9x)(30 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-2930 + 9x)' equal to zero and attempt to solve: Simplifying -2930 + 9x = 0 Solving -2930 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '2930' to each side of the equation. -2930 + 2930 + 9x = 0 + 2930 Combine like terms: -2930 + 2930 = 0 0 + 9x = 0 + 2930 9x = 0 + 2930 Combine like terms: 0 + 2930 = 2930 9x = 2930 Divide each side by '9'. x = 325.5555556 Simplifying x = 325.5555556

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 = {325.5555556, 30}

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