470x-9000-x^2=0

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Solution for 470x-9000-x^2=0 equation:


Simplifying
470x + -9000 + -1x2 = 0

Reorder the terms:
-9000 + 470x + -1x2 = 0

Solving
-9000 + 470x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-450 + x)(20 + -1x) = 0

Subproblem 1

Set the factor '(-450 + x)' equal to zero and attempt to solve: Simplifying -450 + x = 0 Solving -450 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '450' to each side of the equation. -450 + 450 + x = 0 + 450 Combine like terms: -450 + 450 = 0 0 + x = 0 + 450 x = 0 + 450 Combine like terms: 0 + 450 = 450 x = 450 Simplifying x = 450

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 = {450, 20}

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