56y^2+15y-56=

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Solution for 56y^2+15y-56= equation:


Simplifying
56y2 + 15y + -56 = 0

Reorder the terms:
-56 + 15y + 56y2 = 0

Solving
-56 + 15y + 56y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + -7y)(7 + -8y) = 0

Subproblem 1

Set the factor '(-8 + -7y)' equal to zero and attempt to solve: Simplifying -8 + -7y = 0 Solving -8 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7y = 0 + 8 -7y = 0 + 8 Combine like terms: 0 + 8 = 8 -7y = 8 Divide each side by '-7'. y = -1.142857143 Simplifying y = -1.142857143

Subproblem 2

Set the factor '(7 + -8y)' equal to zero and attempt to solve: Simplifying 7 + -8y = 0 Solving 7 + -8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8y = 0 + -7 -8y = 0 + -7 Combine like terms: 0 + -7 = -7 -8y = -7 Divide each side by '-8'. y = 0.875 Simplifying y = 0.875

Solution

y = {-1.142857143, 0.875}

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