36y^2-85y+49=0

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Solution for 36y^2-85y+49=0 equation:


Simplifying
36y2 + -85y + 49 = 0

Reorder the terms:
49 + -85y + 36y2 = 0

Solving
49 + -85y + 36y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -1y)(49 + -36y) = 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 '(49 + -36y)' equal to zero and attempt to solve: Simplifying 49 + -36y = 0 Solving 49 + -36y = 0 Move all terms containing y to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -36y = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -36y = 0 + -49 -36y = 0 + -49 Combine like terms: 0 + -49 = -49 -36y = -49 Divide each side by '-36'. y = 1.361111111 Simplifying y = 1.361111111

Solution

y = {1, 1.361111111}

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