-750x^2+15000x=x

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Solution for -750x^2+15000x=x equation:


Simplifying
-750x2 + 15000x = x

Reorder the terms:
15000x + -750x2 = x

Solving
15000x + -750x2 = x

Solving for variable 'x'.

Reorder the terms:
15000x + -1x + -750x2 = x + -1x

Combine like terms: 15000x + -1x = 14999x
14999x + -750x2 = x + -1x

Combine like terms: x + -1x = 0
14999x + -750x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(14999 + -750x) = 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 '(14999 + -750x)' equal to zero and attempt to solve: Simplifying 14999 + -750x = 0 Solving 14999 + -750x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14999' to each side of the equation. 14999 + -14999 + -750x = 0 + -14999 Combine like terms: 14999 + -14999 = 0 0 + -750x = 0 + -14999 -750x = 0 + -14999 Combine like terms: 0 + -14999 = -14999 -750x = -14999 Divide each side by '-750'. x = 19.99866667 Simplifying x = 19.99866667

Solution

x = {0, 19.99866667}

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