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Simplifying 8y = 12y3 Solving 8y = 12y3 Solving for variable 'y'. Combine like terms: 12y3 + -12y3 = 0 8y + -12y3 = 0 Factor out the Greatest Common Factor (GCF), '4y'. 4y(2 + -3y2) = 0 Ignore the factor 4.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 '(2 + -3y2)' equal to zero and attempt to solve: Simplifying 2 + -3y2 = 0 Solving 2 + -3y2 = 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 + -3y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3y2 = 0 + -2 -3y2 = 0 + -2 Combine like terms: 0 + -2 = -2 -3y2 = -2 Divide each side by '-3'. y2 = 0.6666666667 Simplifying y2 = 0.6666666667 Take the square root of each side: y = {-0.816496581, 0.816496581}Solution
y = {0, -0.816496581, 0.816496581}
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