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Simplifying 5y2 + 8y + -13 = 0 Reorder the terms: -13 + 8y + 5y2 = 0 Solving -13 + 8y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-13 + -5y)(1 + -1y) = 0Subproblem 1
Set the factor '(-13 + -5y)' equal to zero and attempt to solve: Simplifying -13 + -5y = 0 Solving -13 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -5y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -5y = 0 + 13 -5y = 0 + 13 Combine like terms: 0 + 13 = 13 -5y = 13 Divide each side by '-5'. y = -2.6 Simplifying y = -2.6Subproblem 2
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 = 1Solution
y = {-2.6, 1}
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