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Simplifying y(5y + -6)(7y + 4) = 0 Reorder the terms: y(-6 + 5y)(7y + 4) = 0 Reorder the terms: y(-6 + 5y)(4 + 7y) = 0 Multiply (-6 + 5y) * (4 + 7y) y(-6(4 + 7y) + 5y * (4 + 7y)) = 0 y((4 * -6 + 7y * -6) + 5y * (4 + 7y)) = 0 y((-24 + -42y) + 5y * (4 + 7y)) = 0 y(-24 + -42y + (4 * 5y + 7y * 5y)) = 0 y(-24 + -42y + (20y + 35y2)) = 0 Combine like terms: -42y + 20y = -22y y(-24 + -22y + 35y2) = 0 (-24 * y + -22y * y + 35y2 * y) = 0 (-24y + -22y2 + 35y3) = 0 Solving -24y + -22y2 + 35y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-24 + -22y + 35y2) = 0 Factor a trinomial. y((-4 + -7y)(6 + -5y)) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-4 + -7y)' equal to zero and attempt to solve: Simplifying -4 + -7y = 0 Solving -4 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7y = 0 + 4 -7y = 0 + 4 Combine like terms: 0 + 4 = 4 -7y = 4 Divide each side by '-7'. y = -0.5714285714 Simplifying y = -0.5714285714Subproblem 3
Set the factor '(6 + -5y)' equal to zero and attempt to solve: Simplifying 6 + -5y = 0 Solving 6 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5y = 0 + -6 -5y = 0 + -6 Combine like terms: 0 + -6 = -6 -5y = -6 Divide each side by '-5'. y = 1.2 Simplifying y = 1.2Solution
y = {0, -0.5714285714, 1.2}
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