170x^2-210x-260=0

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Solution for 170x^2-210x-260=0 equation:


Simplifying
170x2 + -210x + -260 = 0

Reorder the terms:
-260 + -210x + 170x2 = 0

Solving
-260 + -210x + 170x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-26 + -21x + 17x2) = 0

Factor a trinomial.
10((-13 + -17x)(2 + -1x)) = 0

Ignore the factor 10.

Subproblem 1

Set the factor '(-13 + -17x)' equal to zero and attempt to solve: Simplifying -13 + -17x = 0 Solving -13 + -17x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -17x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -17x = 0 + 13 -17x = 0 + 13 Combine like terms: 0 + 13 = 13 -17x = 13 Divide each side by '-17'. x = -0.7647058824 Simplifying x = -0.7647058824

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-0.7647058824, 2}

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