12y=8y^2

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Solution for 12y=8y^2 equation:


Simplifying
12y = 8y2

Solving
12y = 8y2

Solving for variable 'y'.

Combine like terms: 8y2 + -8y2 = 0
12y + -8y2 = 0

Factor out the Greatest Common Factor (GCF), '4y'.
4y(3 + -2y) = 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 = 0

Subproblem 2

Set the factor '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5

Solution

y = {0, 1.5}

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