2x^2-2300x=-600000

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Solution for 2x^2-2300x=-600000 equation:


Simplifying
2x2 + -2300x = -600000

Reorder the terms:
-2300x + 2x2 = -600000

Solving
-2300x + 2x2 = -600000

Solving for variable 'x'.

Reorder the terms:
600000 + -2300x + 2x2 = -600000 + 600000

Combine like terms: -600000 + 600000 = 0
600000 + -2300x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(300000 + -1150x + x2) = 0

Factor a trinomial.
2((400 + -1x)(750 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(400 + -1x)' equal to zero and attempt to solve: Simplifying 400 + -1x = 0 Solving 400 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-400' to each side of the equation. 400 + -400 + -1x = 0 + -400 Combine like terms: 400 + -400 = 0 0 + -1x = 0 + -400 -1x = 0 + -400 Combine like terms: 0 + -400 = -400 -1x = -400 Divide each side by '-1'. x = 400 Simplifying x = 400

Subproblem 2

Set the factor '(750 + -1x)' equal to zero and attempt to solve: Simplifying 750 + -1x = 0 Solving 750 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-750' to each side of the equation. 750 + -750 + -1x = 0 + -750 Combine like terms: 750 + -750 = 0 0 + -1x = 0 + -750 -1x = 0 + -750 Combine like terms: 0 + -750 = -750 -1x = -750 Divide each side by '-1'. x = 750 Simplifying x = 750

Solution

x = {400, 750}

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