2000-40x-3x^2=0

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Solution for 2000-40x-3x^2=0 equation:


Simplifying
2000 + -40x + -3x2 = 0

Solving
2000 + -40x + -3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(20 + -1x)(100 + 3x) = 0

Subproblem 1

Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 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 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20

Subproblem 2

Set the factor '(100 + 3x)' equal to zero and attempt to solve: Simplifying 100 + 3x = 0 Solving 100 + 3x = 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 + 3x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 3x = 0 + -100 3x = 0 + -100 Combine like terms: 0 + -100 = -100 3x = -100 Divide each side by '3'. x = -33.33333333 Simplifying x = -33.33333333

Solution

x = {20, -33.33333333}

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