10y^2+37y+7=

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Solution for 10y^2+37y+7= equation:


Simplifying
10y2 + 37y + 7 = 0

Reorder the terms:
7 + 37y + 10y2 = 0

Solving
7 + 37y + 10y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + 2y)(1 + 5y) = 0

Subproblem 1

Set the factor '(7 + 2y)' equal to zero and attempt to solve: Simplifying 7 + 2y = 0 Solving 7 + 2y = 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 + 2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2y = 0 + -7 2y = 0 + -7 Combine like terms: 0 + -7 = -7 2y = -7 Divide each side by '2'. y = -3.5 Simplifying y = -3.5

Subproblem 2

Set the factor '(1 + 5y)' equal to zero and attempt to solve: Simplifying 1 + 5y = 0 Solving 1 + 5y = 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 + 5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5y = 0 + -1 5y = 0 + -1 Combine like terms: 0 + -1 = -1 5y = -1 Divide each side by '5'. y = -0.2 Simplifying y = -0.2

Solution

y = {-3.5, -0.2}

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