3x+2x^2-860=0

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Solution for 3x+2x^2-860=0 equation:


Simplifying
3x + 2x2 + -860 = 0

Reorder the terms:
-860 + 3x + 2x2 = 0

Solving
-860 + 3x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-43 + -2x)(20 + -1x) = 0

Subproblem 1

Set the factor '(-43 + -2x)' equal to zero and attempt to solve: Simplifying -43 + -2x = 0 Solving -43 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -2x = 0 + 43 Combine like terms: -43 + 43 = 0 0 + -2x = 0 + 43 -2x = 0 + 43 Combine like terms: 0 + 43 = 43 -2x = 43 Divide each side by '-2'. x = -21.5 Simplifying x = -21.5

Subproblem 2

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

Solution

x = {-21.5, 20}

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