30x-x^2=-1000

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Solution for 30x-x^2=-1000 equation:


Simplifying
30x + -1x2 = -1000

Solving
30x + -1x2 = -1000

Solving for variable 'x'.

Reorder the terms:
1000 + 30x + -1x2 = -1000 + 1000

Combine like terms: -1000 + 1000 = 0
1000 + 30x + -1x2 = 0

Factor a trinomial.
(50 + -1x)(20 + x) = 0

Subproblem 1

Set the factor '(50 + -1x)' equal to zero and attempt to solve: Simplifying 50 + -1x = 0 Solving 50 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1x = 0 + -50 -1x = 0 + -50 Combine like terms: 0 + -50 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50

Subproblem 2

Set the factor '(20 + x)' equal to zero and attempt to solve: Simplifying 20 + x = 0 Solving 20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x = 0 + -20 x = 0 + -20 Combine like terms: 0 + -20 = -20 x = -20 Simplifying x = -20

Solution

x = {50, -20}

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