2x^2-5x-493=0

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Solution for 2x^2-5x-493=0 equation:


Simplifying
2x2 + -5x + -493 = 0

Reorder the terms:
-493 + -5x + 2x2 = 0

Solving
-493 + -5x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-29 + -2x)(17 + -1x) = 0

Subproblem 1

Set the factor '(-29 + -2x)' equal to zero and attempt to solve: Simplifying -29 + -2x = 0 Solving -29 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -2x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -2x = 0 + 29 -2x = 0 + 29 Combine like terms: 0 + 29 = 29 -2x = 29 Divide each side by '-2'. x = -14.5 Simplifying x = -14.5

Subproblem 2

Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17

Solution

x = {-14.5, 17}

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