2y^2(y-10)=

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


Simplifying
2y2(y + -10) = 0

Reorder the terms:
2y2(-10 + y) = 0
(-10 * 2y2 + y * 2y2) = 0
(-20y2 + 2y3) = 0

Solving
-20y2 + 2y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y2'.
2y2(-10 + y) = 0

Ignore the factor 2.

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 '(-10 + y)' equal to zero and attempt to solve: Simplifying -10 + y = 0 Solving -10 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + y = 0 + 10 y = 0 + 10 Combine like terms: 0 + 10 = 10 y = 10 Simplifying y = 10

Solution

y = {0, 10}

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