28y^2+153y+182=0

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Solution for 28y^2+153y+182=0 equation:


Simplifying
28y2 + 153y + 182 = 0

Reorder the terms:
182 + 153y + 28y2 = 0

Solving
182 + 153y + 28y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(26 + 7y)(7 + 4y) = 0

Subproblem 1

Set the factor '(26 + 7y)' equal to zero and attempt to solve: Simplifying 26 + 7y = 0 Solving 26 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 7y = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 7y = 0 + -26 7y = 0 + -26 Combine like terms: 0 + -26 = -26 7y = -26 Divide each side by '7'. y = -3.714285714 Simplifying y = -3.714285714

Subproblem 2

Set the factor '(7 + 4y)' equal to zero and attempt to solve: Simplifying 7 + 4y = 0 Solving 7 + 4y = 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 + 4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4y = 0 + -7 4y = 0 + -7 Combine like terms: 0 + -7 = -7 4y = -7 Divide each side by '4'. y = -1.75 Simplifying y = -1.75

Solution

y = {-3.714285714, -1.75}

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