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Simplifying -1(y + -3)(2y + -5) = 0 Reorder the terms: -1(-3 + y)(2y + -5) = 0 Reorder the terms: -1(-3 + y)(-5 + 2y) = 0 Multiply (-3 + y) * (-5 + 2y) -1(-3(-5 + 2y) + y(-5 + 2y)) = 0 -1((-5 * -3 + 2y * -3) + y(-5 + 2y)) = 0 -1((15 + -6y) + y(-5 + 2y)) = 0 -1(15 + -6y + (-5 * y + 2y * y)) = 0 -1(15 + -6y + (-5y + 2y2)) = 0 Combine like terms: -6y + -5y = -11y -1(15 + -11y + 2y2) = 0 (15 * -1 + -11y * -1 + 2y2 * -1) = 0 (-15 + 11y + -2y2) = 0 Solving -15 + 11y + -2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + y)(5 + -2y) = 0Subproblem 1
Set the factor '(-3 + y)' equal to zero and attempt to solve: Simplifying -3 + y = 0 Solving -3 + y = 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 + y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + y = 0 + 3 y = 0 + 3 Combine like terms: 0 + 3 = 3 y = 3 Simplifying y = 3Subproblem 2
Set the factor '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 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 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5Solution
y = {3, 2.5}
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