100y-8y^2=10y^2

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Solution for 100y-8y^2=10y^2 equation:


Simplifying
100y + -8y2 = 10y2

Solving
100y + -8y2 = 10y2

Solving for variable 'y'.

Combine like terms: -8y2 + -10y2 = -18y2
100y + -18y2 = 10y2 + -10y2

Combine like terms: 10y2 + -10y2 = 0
100y + -18y2 = 0

Factor out the Greatest Common Factor (GCF), '2y'.
2y(50 + -9y) = 0

Ignore the factor 2.

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 '(50 + -9y)' equal to zero and attempt to solve: Simplifying 50 + -9y = 0 Solving 50 + -9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -9y = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -9y = 0 + -50 -9y = 0 + -50 Combine like terms: 0 + -50 = -50 -9y = -50 Divide each side by '-9'. y = 5.555555556 Simplifying y = 5.555555556

Solution

y = {0, 5.555555556}

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