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Simplifying (4y + -5)(2y + -3) = 0 Reorder the terms: (-5 + 4y)(2y + -3) = 0 Reorder the terms: (-5 + 4y)(-3 + 2y) = 0 Multiply (-5 + 4y) * (-3 + 2y) (-5(-3 + 2y) + 4y * (-3 + 2y)) = 0 ((-3 * -5 + 2y * -5) + 4y * (-3 + 2y)) = 0 ((15 + -10y) + 4y * (-3 + 2y)) = 0 (15 + -10y + (-3 * 4y + 2y * 4y)) = 0 (15 + -10y + (-12y + 8y2)) = 0 Combine like terms: -10y + -12y = -22y (15 + -22y + 8y2) = 0 Solving 15 + -22y + 8y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -4y)(3 + -2y) = 0Subproblem 1
Set the factor '(5 + -4y)' equal to zero and attempt to solve: Simplifying 5 + -4y = 0 Solving 5 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4y = 0 + -5 -4y = 0 + -5 Combine like terms: 0 + -5 = -5 -4y = -5 Divide each side by '-4'. y = 1.25 Simplifying y = 1.25Subproblem 2
Set the factor '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 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 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5Solution
y = {1.25, 1.5}
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