8y^2-75y+175=0

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Solution for 8y^2-75y+175=0 equation:


Simplifying
8y2 + -75y + 175 = 0

Reorder the terms:
175 + -75y + 8y2 = 0

Solving
175 + -75y + 8y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(35 + -8y)(5 + -1y) = 0

Subproblem 1

Set the factor '(35 + -8y)' equal to zero and attempt to solve: Simplifying 35 + -8y = 0 Solving 35 + -8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -8y = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -8y = 0 + -35 -8y = 0 + -35 Combine like terms: 0 + -35 = -35 -8y = -35 Divide each side by '-8'. y = 4.375 Simplifying y = 4.375

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 = {4.375, 5}

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