7y^2+2y-5=

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Solution for 7y^2+2y-5= equation:


Simplifying
7y2 + 2y + -5 = 0

Reorder the terms:
-5 + 2y + 7y2 = 0

Solving
-5 + 2y + 7y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-1 + -1y)(5 + -7y) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(5 + -7y)' equal to zero and attempt to solve: Simplifying 5 + -7y = 0 Solving 5 + -7y = 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 + -7y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7y = 0 + -5 -7y = 0 + -5 Combine like terms: 0 + -5 = -5 -7y = -5 Divide each side by '-7'. y = 0.7142857143 Simplifying y = 0.7142857143

Solution

y = {-1, 0.7142857143}

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