570x=9000+9x^2

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Solution for 570x=9000+9x^2 equation:


Simplifying
570x = 9000 + 9x2

Solving
570x = 9000 + 9x2

Solving for variable 'x'.

Reorder the terms:
-9000 + 570x + -9x2 = 9000 + 9x2 + -9000 + -9x2

Reorder the terms:
-9000 + 570x + -9x2 = 9000 + -9000 + 9x2 + -9x2

Combine like terms: 9000 + -9000 = 0
-9000 + 570x + -9x2 = 0 + 9x2 + -9x2
-9000 + 570x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-9000 + 570x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-3000 + 190x + -3x2) = 0

Factor a trinomial.
3((-100 + 3x)(30 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-100 + 3x)' equal to zero and attempt to solve: Simplifying -100 + 3x = 0 Solving -100 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + 3x = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 3x = 0 + 100 3x = 0 + 100 Combine like terms: 0 + 100 = 100 3x = 100 Divide each side by '3'. x = 33.33333333 Simplifying x = 33.33333333

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 = {33.33333333, 30}

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