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Simplifying (5y + 3)(2y + -5) = 0 Reorder the terms: (3 + 5y)(2y + -5) = 0 Reorder the terms: (3 + 5y)(-5 + 2y) = 0 Multiply (3 + 5y) * (-5 + 2y) (3(-5 + 2y) + 5y * (-5 + 2y)) = 0 ((-5 * 3 + 2y * 3) + 5y * (-5 + 2y)) = 0 ((-15 + 6y) + 5y * (-5 + 2y)) = 0 (-15 + 6y + (-5 * 5y + 2y * 5y)) = 0 (-15 + 6y + (-25y + 10y2)) = 0 Combine like terms: 6y + -25y = -19y (-15 + -19y + 10y2) = 0 Solving -15 + -19y + 10y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + -5y)(5 + -2y) = 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 '(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 = {-0.6, 2.5}
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