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Simplifying (2y + -3)(5y + -4) = 0 Reorder the terms: (-3 + 2y)(5y + -4) = 0 Reorder the terms: (-3 + 2y)(-4 + 5y) = 0 Multiply (-3 + 2y) * (-4 + 5y) (-3(-4 + 5y) + 2y * (-4 + 5y)) = 0 ((-4 * -3 + 5y * -3) + 2y * (-4 + 5y)) = 0 ((12 + -15y) + 2y * (-4 + 5y)) = 0 (12 + -15y + (-4 * 2y + 5y * 2y)) = 0 (12 + -15y + (-8y + 10y2)) = 0 Combine like terms: -15y + -8y = -23y (12 + -23y + 10y2) = 0 Solving 12 + -23y + 10y2 = 0 Solving for variable 'y'. Factor a trinomial. (4 + -5y)(3 + -2y) = 0Subproblem 1
Set the factor '(4 + -5y)' equal to zero and attempt to solve: Simplifying 4 + -5y = 0 Solving 4 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5y = 0 + -4 -5y = 0 + -4 Combine like terms: 0 + -4 = -4 -5y = -4 Divide each side by '-5'. y = 0.8 Simplifying y = 0.8Subproblem 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 = {0.8, 1.5}
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