230x=90x-x^2

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Solution for 230x=90x-x^2 equation:


Simplifying
230x = 90x + -1x2

Solving
230x = 90x + -1x2

Solving for variable 'x'.

Combine like terms: 230x + -90x = 140x
140x + x2 = 90x + -1x2 + -90x + x2

Reorder the terms:
140x + x2 = 90x + -90x + -1x2 + x2

Combine like terms: 90x + -90x = 0
140x + x2 = 0 + -1x2 + x2
140x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
140x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(140 + x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(140 + x)' equal to zero and attempt to solve: Simplifying 140 + x = 0 Solving 140 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -140 + x = 0 + -140 Combine like terms: 140 + -140 = 0 0 + x = 0 + -140 x = 0 + -140 Combine like terms: 0 + -140 = -140 x = -140 Simplifying x = -140

Solution

x = {0, -140}

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