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Simplifying (5y + -2)(y + 3) = 0 Reorder the terms: (-2 + 5y)(y + 3) = 0 Reorder the terms: (-2 + 5y)(3 + y) = 0 Multiply (-2 + 5y) * (3 + y) (-2(3 + y) + 5y * (3 + y)) = 0 ((3 * -2 + y * -2) + 5y * (3 + y)) = 0 ((-6 + -2y) + 5y * (3 + y)) = 0 (-6 + -2y + (3 * 5y + y * 5y)) = 0 (-6 + -2y + (15y + 5y2)) = 0 Combine like terms: -2y + 15y = 13y (-6 + 13y + 5y2) = 0 Solving -6 + 13y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + -1y)(2 + -5y) = 0Subproblem 1
Set the factor '(-3 + -1y)' equal to zero and attempt to solve: Simplifying -3 + -1y = 0 Solving -3 + -1y = 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 + -1y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1y = 0 + 3 -1y = 0 + 3 Combine like terms: 0 + 3 = 3 -1y = 3 Divide each side by '-1'. y = -3 Simplifying y = -3Subproblem 2
Set the factor '(2 + -5y)' equal to zero and attempt to solve: Simplifying 2 + -5y = 0 Solving 2 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5y = 0 + -2 -5y = 0 + -2 Combine like terms: 0 + -2 = -2 -5y = -2 Divide each side by '-5'. y = 0.4 Simplifying y = 0.4Solution
y = {-3, 0.4}
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