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Simplifying 0 = 6y2(3y3 + 5) + -2y(y4 + 10) Reorder the terms: 0 = 6y2(5 + 3y3) + -2y(y4 + 10) 0 = (5 * 6y2 + 3y3 * 6y2) + -2y(y4 + 10) 0 = (30y2 + 18y5) + -2y(y4 + 10) Reorder the terms: 0 = 30y2 + 18y5 + -2y(10 + y4) 0 = 30y2 + 18y5 + (10 * -2y + y4 * -2y) 0 = 30y2 + 18y5 + (-20y + -2y5) Reorder the terms: 0 = -20y + 30y2 + 18y5 + -2y5 Combine like terms: 18y5 + -2y5 = 16y5 0 = -20y + 30y2 + 16y5 Solving 0 = -20y + 30y2 + 16y5 Solving for variable 'y'. Remove the zero: 20y + -30y2 + -16y5 = -20y + 30y2 + 16y5 + 20y + -30y2 + -16y5 Reorder the terms: 20y + -30y2 + -16y5 = -20y + 20y + 30y2 + -30y2 + 16y5 + -16y5 Combine like terms: -20y + 20y = 0 20y + -30y2 + -16y5 = 0 + 30y2 + -30y2 + 16y5 + -16y5 20y + -30y2 + -16y5 = 30y2 + -30y2 + 16y5 + -16y5 Combine like terms: 30y2 + -30y2 = 0 20y + -30y2 + -16y5 = 0 + 16y5 + -16y5 20y + -30y2 + -16y5 = 16y5 + -16y5 Combine like terms: 16y5 + -16y5 = 0 20y + -30y2 + -16y5 = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(10 + -15y + -8y4) = 0 Ignore the factor 2.Subproblem 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 '(10 + -15y + -8y4)' equal to zero and attempt to solve: Simplifying 10 + -15y + -8y4 = 0 Solving 10 + -15y + -8y4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {0}
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