72y=32y^2

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Solution for 72y=32y^2 equation:


Simplifying
72y = 32y2

Solving
72y = 32y2

Solving for variable 'y'.

Combine like terms: 32y2 + -32y2 = 0
72y + -32y2 = 0

Factor out the Greatest Common Factor (GCF), '8y'.
8y(9 + -4y) = 0

Ignore the factor 8.

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 = 0

Subproblem 2

Set the factor '(9 + -4y)' equal to zero and attempt to solve: Simplifying 9 + -4y = 0 Solving 9 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4y = 0 + -9 -4y = 0 + -9 Combine like terms: 0 + -9 = -9 -4y = -9 Divide each side by '-4'. y = 2.25 Simplifying y = 2.25

Solution

y = {0, 2.25}

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