5x^2+12x-17=0

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Solution for 5x^2+12x-17=0 equation:


Simplifying
5x2 + 12x + -17 = 0

Reorder the terms:
-17 + 12x + 5x2 = 0

Solving
-17 + 12x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-17 + -5x)(1 + -1x) = 0

Subproblem 1

Set the factor '(-17 + -5x)' equal to zero and attempt to solve: Simplifying -17 + -5x = 0 Solving -17 + -5x = 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 + -5x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -5x = 0 + 17 -5x = 0 + 17 Combine like terms: 0 + 17 = 17 -5x = 17 Divide each side by '-5'. x = -3.4 Simplifying x = -3.4

Subproblem 2

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

Solution

x = {-3.4, 1}

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