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Simplifying 8y2 + -5y + 13 + -15y2 + -5y + 4 = 0 Reorder the terms: 13 + 4 + -5y + -5y + 8y2 + -15y2 = 0 Combine like terms: 13 + 4 = 17 17 + -5y + -5y + 8y2 + -15y2 = 0 Combine like terms: -5y + -5y = -10y 17 + -10y + 8y2 + -15y2 = 0 Combine like terms: 8y2 + -15y2 = -7y2 17 + -10y + -7y2 = 0 Solving 17 + -10y + -7y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -1y)(17 + 7y) = 0Subproblem 1
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 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 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Subproblem 2
Set the factor '(17 + 7y)' equal to zero and attempt to solve: Simplifying 17 + 7y = 0 Solving 17 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 7y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 7y = 0 + -17 7y = 0 + -17 Combine like terms: 0 + -17 = -17 7y = -17 Divide each side by '7'. y = -2.428571429 Simplifying y = -2.428571429Solution
y = {1, -2.428571429}
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