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Simplifying (5y + -2)(2y + 6) = 0 Reorder the terms: (-2 + 5y)(2y + 6) = 0 Reorder the terms: (-2 + 5y)(6 + 2y) = 0 Multiply (-2 + 5y) * (6 + 2y) (-2(6 + 2y) + 5y * (6 + 2y)) = 0 ((6 * -2 + 2y * -2) + 5y * (6 + 2y)) = 0 ((-12 + -4y) + 5y * (6 + 2y)) = 0 (-12 + -4y + (6 * 5y + 2y * 5y)) = 0 (-12 + -4y + (30y + 10y2)) = 0 Combine like terms: -4y + 30y = 26y (-12 + 26y + 10y2) = 0 Solving -12 + 26y + 10y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 13y + 5y2) = 0 Factor a trinomial. 2((-3 + -1y)(2 + -5y)) = 0 Ignore the factor 2.Subproblem 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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