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Simplifying 4y4(5y + 3)(y + -3) = 0 Reorder the terms: 4y4(3 + 5y)(y + -3) = 0 Reorder the terms: 4y4(3 + 5y)(-3 + y) = 0 Multiply (3 + 5y) * (-3 + y) 4y4(3(-3 + y) + 5y * (-3 + y)) = 0 4y4((-3 * 3 + y * 3) + 5y * (-3 + y)) = 0 4y4((-9 + 3y) + 5y * (-3 + y)) = 0 4y4(-9 + 3y + (-3 * 5y + y * 5y)) = 0 4y4(-9 + 3y + (-15y + 5y2)) = 0 Combine like terms: 3y + -15y = -12y 4y4(-9 + -12y + 5y2) = 0 (-9 * 4y4 + -12y * 4y4 + 5y2 * 4y4) = 0 (-36y4 + -48y5 + 20y6) = 0 Solving -36y4 + -48y5 + 20y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y4'. 4y4(-9 + -12y + 5y2) = 0 Factor a trinomial. 4y4((-3 + -5y)(3 + -1y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'y4' equal to zero and attempt to solve: Simplifying y4 = 0 Solving y4 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
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 3
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 = 3Solution
y = {-0.6, 3}
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