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Simplifying (5y + -3)(8y + -3) = 0 Reorder the terms: (-3 + 5y)(8y + -3) = 0 Reorder the terms: (-3 + 5y)(-3 + 8y) = 0 Multiply (-3 + 5y) * (-3 + 8y) (-3(-3 + 8y) + 5y * (-3 + 8y)) = 0 ((-3 * -3 + 8y * -3) + 5y * (-3 + 8y)) = 0 ((9 + -24y) + 5y * (-3 + 8y)) = 0 (9 + -24y + (-3 * 5y + 8y * 5y)) = 0 (9 + -24y + (-15y + 40y2)) = 0 Combine like terms: -24y + -15y = -39y (9 + -39y + 40y2) = 0 Solving 9 + -39y + 40y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + -8y)(3 + -5y) = 0Subproblem 1
Set the factor '(3 + -8y)' equal to zero and attempt to solve: Simplifying 3 + -8y = 0 Solving 3 + -8y = 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 + -8y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8y = 0 + -3 -8y = 0 + -3 Combine like terms: 0 + -3 = -3 -8y = -3 Divide each side by '-8'. y = 0.375 Simplifying y = 0.375Subproblem 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 = {0.375, 0.6}
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