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Simplifying 8y2 = -15y + 2 Reorder the terms: 8y2 = 2 + -15y Solving 8y2 = 2 + -15y Solving for variable 'y'. Reorder the terms: -2 + 15y + 8y2 = 2 + -15y + -2 + 15y Reorder the terms: -2 + 15y + 8y2 = 2 + -2 + -15y + 15y Combine like terms: 2 + -2 = 0 -2 + 15y + 8y2 = 0 + -15y + 15y -2 + 15y + 8y2 = -15y + 15y Combine like terms: -15y + 15y = 0 -2 + 15y + 8y2 = 0 Factor a trinomial. (-2 + -1y)(1 + -8y) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(1 + -8y)' equal to zero and attempt to solve: Simplifying 1 + -8y = 0 Solving 1 + -8y = 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 + -8y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8y = 0 + -1 -8y = 0 + -1 Combine like terms: 0 + -1 = -1 -8y = -1 Divide each side by '-8'. y = 0.125 Simplifying y = 0.125Solution
y = {-2, 0.125}
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