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Simplifying (6y + -4)(y + 3) = 0 Reorder the terms: (-4 + 6y)(y + 3) = 0 Reorder the terms: (-4 + 6y)(3 + y) = 0 Multiply (-4 + 6y) * (3 + y) (-4(3 + y) + 6y * (3 + y)) = 0 ((3 * -4 + y * -4) + 6y * (3 + y)) = 0 ((-12 + -4y) + 6y * (3 + y)) = 0 (-12 + -4y + (3 * 6y + y * 6y)) = 0 (-12 + -4y + (18y + 6y2)) = 0 Combine like terms: -4y + 18y = 14y (-12 + 14y + 6y2) = 0 Solving -12 + 14y + 6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 7y + 3y2) = 0 Factor a trinomial. 2((-3 + -1y)(2 + -3y)) = 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 + -3y)' equal to zero and attempt to solve: Simplifying 2 + -3y = 0 Solving 2 + -3y = 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 + -3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3y = 0 + -2 -3y = 0 + -2 Combine like terms: 0 + -2 = -2 -3y = -2 Divide each side by '-3'. y = 0.6666666667 Simplifying y = 0.6666666667Solution
y = {-3, 0.6666666667}
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