9x^2+450x-10000=0

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Solution for 9x^2+450x-10000=0 equation:


Simplifying
9x2 + 450x + -10000 = 0

Reorder the terms:
-10000 + 450x + 9x2 = 0

Solving
-10000 + 450x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-200 + -3x)(50 + -3x) = 0

Subproblem 1

Set the factor '(-200 + -3x)' equal to zero and attempt to solve: Simplifying -200 + -3x = 0 Solving -200 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '200' to each side of the equation. -200 + 200 + -3x = 0 + 200 Combine like terms: -200 + 200 = 0 0 + -3x = 0 + 200 -3x = 0 + 200 Combine like terms: 0 + 200 = 200 -3x = 200 Divide each side by '-3'. x = -66.66666667 Simplifying x = -66.66666667

Subproblem 2

Set the factor '(50 + -3x)' equal to zero and attempt to solve: Simplifying 50 + -3x = 0 Solving 50 + -3x = 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 + -3x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -3x = 0 + -50 -3x = 0 + -50 Combine like terms: 0 + -50 = -50 -3x = -50 Divide each side by '-3'. x = 16.66666667 Simplifying x = 16.66666667

Solution

x = {-66.66666667, 16.66666667}

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