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Simplifying 2y2 + 19y + 45 + y2 + 10y + 25 = 0 Reorder the terms: 45 + 25 + 19y + 10y + 2y2 + y2 = 0 Combine like terms: 45 + 25 = 70 70 + 19y + 10y + 2y2 + y2 = 0 Combine like terms: 19y + 10y = 29y 70 + 29y + 2y2 + y2 = 0 Combine like terms: 2y2 + y2 = 3y2 70 + 29y + 3y2 = 0 Solving 70 + 29y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + y)(14 + 3y) = 0Subproblem 1
Set the factor '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5Subproblem 2
Set the factor '(14 + 3y)' equal to zero and attempt to solve: Simplifying 14 + 3y = 0 Solving 14 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3y = 0 + -14 3y = 0 + -14 Combine like terms: 0 + -14 = -14 3y = -14 Divide each side by '3'. y = -4.666666667 Simplifying y = -4.666666667Solution
y = {-5, -4.666666667}
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