15y^2-77y+10=0

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Solution for 15y^2-77y+10=0 equation:


Simplifying
15y2 + -77y + 10 = 0

Reorder the terms:
10 + -77y + 15y2 = 0

Solving
10 + -77y + 15y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(2 + -15y)(5 + -1y) = 0

Subproblem 1

Set the factor '(2 + -15y)' equal to zero and attempt to solve: Simplifying 2 + -15y = 0 Solving 2 + -15y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -15y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -15y = 0 + -2 -15y = 0 + -2 Combine like terms: 0 + -2 = -2 -15y = -2 Divide each side by '-15'. y = 0.1333333333 Simplifying y = 0.1333333333

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 = {0.1333333333, 5}

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