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Simplifying (-8y2 + -8y + 5) + -1(-3y2 + 8) = 0 Reorder the terms: (5 + -8y + -8y2) + -1(-3y2 + 8) = 0 Remove parenthesis around (5 + -8y + -8y2) 5 + -8y + -8y2 + -1(-3y2 + 8) = 0 Reorder the terms: 5 + -8y + -8y2 + -1(8 + -3y2) = 0 5 + -8y + -8y2 + (8 * -1 + -3y2 * -1) = 0 5 + -8y + -8y2 + (-8 + 3y2) = 0 Reorder the terms: 5 + -8 + -8y + -8y2 + 3y2 = 0 Combine like terms: 5 + -8 = -3 -3 + -8y + -8y2 + 3y2 = 0 Combine like terms: -8y2 + 3y2 = -5y2 -3 + -8y + -5y2 = 0 Solving -3 + -8y + -5y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-1'. -1(3 + 8y + 5y2) = 0 Factor a trinomial. -1((1 + y)(3 + 5y)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Subproblem 2
Set the factor '(3 + 5y)' equal to zero and attempt to solve: Simplifying 3 + 5y = 0 Solving 3 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5y = 0 + -3 5y = 0 + -3 Combine like terms: 0 + -3 = -3 5y = -3 Divide each side by '5'. y = -0.6 Simplifying y = -0.6Solution
y = {-1, -0.6}
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