15y^2-53y+44=0

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Solution for 15y^2-53y+44=0 equation:


Simplifying
15y2 + -53y + 44 = 0

Reorder the terms:
44 + -53y + 15y2 = 0

Solving
44 + -53y + 15y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(4 + -3y)(11 + -5y) = 0

Subproblem 1

Set the factor '(4 + -3y)' equal to zero and attempt to solve: Simplifying 4 + -3y = 0 Solving 4 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = 0 + -4 -3y = 0 + -4 Combine like terms: 0 + -4 = -4 -3y = -4 Divide each side by '-3'. y = 1.333333333 Simplifying y = 1.333333333

Subproblem 2

Set the factor '(11 + -5y)' equal to zero and attempt to solve: Simplifying 11 + -5y = 0 Solving 11 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -5y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -5y = 0 + -11 -5y = 0 + -11 Combine like terms: 0 + -11 = -11 -5y = -11 Divide each side by '-5'. y = 2.2 Simplifying y = 2.2

Solution

y = {1.333333333, 2.2}

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