60000+300x-3x^2=0

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Solution for 60000+300x-3x^2=0 equation:


Simplifying
60000 + 300x + -3x2 = 0

Solving
60000 + 300x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(20000 + 100x + -1x2) = 0

Factor a trinomial.
3((200 + -1x)(100 + x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(200 + -1x)' equal to zero and attempt to solve: Simplifying 200 + -1x = 0 Solving 200 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + -1x = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -1x = 0 + -200 -1x = 0 + -200 Combine like terms: 0 + -200 = -200 -1x = -200 Divide each side by '-1'. x = 200 Simplifying x = 200

Subproblem 2

Set the factor '(100 + x)' equal to zero and attempt to solve: Simplifying 100 + x = 0 Solving 100 + x = 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 + x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + x = 0 + -100 x = 0 + -100 Combine like terms: 0 + -100 = -100 x = -100 Simplifying x = -100

Solution

x = {200, -100}

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