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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 + 5y)(3 + -8y) = 0Subproblem 1
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 = 0.6Subproblem 2
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 = 0.375Solution
y = {0.6, 0.375}
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