(2y)(4y^2)+(3y^2)(5y^2)=

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Solution for (2y)(4y^2)+(3y^2)(5y^2)= equation:


Simplifying
(2y)(4y2) + (3y2)(5y2) = 0

Remove parenthesis around (2y)
2y(4y2) + (3y2)(5y2) = 0

Remove parenthesis around (4y2)
2y * 4y2 + (3y2)(5y2) = 0

Reorder the terms for easier multiplication:
2 * 4y * y2 + (3y2)(5y2) = 0

Multiply 2 * 4
8y * y2 + (3y2)(5y2) = 0

Multiply y * y2
8y3 + (3y2)(5y2) = 0

Remove parenthesis around (3y2)
8y3 + 3y2(5y2) = 0

Remove parenthesis around (5y2)
8y3 + 3y2 * 5y2 = 0

Reorder the terms for easier multiplication:
8y3 + 3 * 5y2 * y2 = 0

Multiply 3 * 5
8y3 + 15y2 * y2 = 0

Multiply y2 * y2
8y3 + 15y4 = 0

Solving
8y3 + 15y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y3'.
y3(8 + 15y) = 0

Subproblem 1

Set the factor 'y3' equal to zero and attempt to solve: Simplifying y3 = 0 Solving y3 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y3 = 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 '(8 + 15y)' equal to zero and attempt to solve: Simplifying 8 + 15y = 0 Solving 8 + 15y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 15y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 15y = 0 + -8 15y = 0 + -8 Combine like terms: 0 + -8 = -8 15y = -8 Divide each side by '15'. y = -0.5333333333 Simplifying y = -0.5333333333

Solution

y = {-0.5333333333}

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