2y^2+15y-38=

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Solution for 2y^2+15y-38= equation:


Simplifying
2y2 + 15y + -38 = 0

Reorder the terms:
-38 + 15y + 2y2 = 0

Solving
-38 + 15y + 2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-19 + -2y)(2 + -1y) = 0

Subproblem 1

Set the factor '(-19 + -2y)' equal to zero and attempt to solve: Simplifying -19 + -2y = 0 Solving -19 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -2y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -2y = 0 + 19 -2y = 0 + 19 Combine like terms: 0 + 19 = 19 -2y = 19 Divide each side by '-2'. y = -9.5 Simplifying y = -9.5

Subproblem 2

Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 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 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2

Solution

y = {-9.5, 2}

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