8y^2(10-6y^3)=

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Solution for 8y^2(10-6y^3)= equation:


Simplifying
8y2(10 + -6y3) = 0
(10 * 8y2 + -6y3 * 8y2) = 0
(80y2 + -48y5) = 0

Solving
80y2 + -48y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '16y2'.
16y2(5 + -3y3) = 0

Ignore the factor 16.

Subproblem 1

Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}

Subproblem 2

Set the factor '(5 + -3y3)' equal to zero and attempt to solve: Simplifying 5 + -3y3 = 0 Solving 5 + -3y3 = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3y3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y3 = 0 + -5 -3y3 = 0 + -5 Combine like terms: 0 + -5 = -5 -3y3 = -5 Divide each side by '-3'. y3 = 1.666666667 Simplifying y3 = 1.666666667 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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