17y^2-76y-45=0

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Solution for 17y^2-76y-45=0 equation:


Simplifying
17y2 + -76y + -45 = 0

Reorder the terms:
-45 + -76y + 17y2 = 0

Solving
-45 + -76y + 17y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-9 + -17y)(5 + -1y) = 0

Subproblem 1

Set the factor '(-9 + -17y)' equal to zero and attempt to solve: Simplifying -9 + -17y = 0 Solving -9 + -17y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -17y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -17y = 0 + 9 -17y = 0 + 9 Combine like terms: 0 + 9 = 9 -17y = 9 Divide each side by '-17'. y = -0.5294117647 Simplifying y = -0.5294117647

Subproblem 2

Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5

Solution

y = {-0.5294117647, 5}

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