-5x^2+450x-10000=0

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Solution for -5x^2+450x-10000=0 equation:


Simplifying
-5x2 + 450x + -10000 = 0

Reorder the terms:
-10000 + 450x + -5x2 = 0

Solving
-10000 + 450x + -5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-2000 + 90x + -1x2) = 0

Factor a trinomial.
5((-50 + x)(40 + -1x)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-50 + x)' equal to zero and attempt to solve: Simplifying -50 + x = 0 Solving -50 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + x = 0 + 50 x = 0 + 50 Combine like terms: 0 + 50 = 50 x = 50 Simplifying x = 50

Subproblem 2

Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40

Solution

x = {50, 40}

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