(8y-4y^2)+(3y-9y^2)=

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Solution for (8y-4y^2)+(3y-9y^2)= equation:


Simplifying
(8y + -4y2) + (3y + -9y2) = 0

Remove parenthesis around (8y + -4y2)
8y + -4y2 + (3y + -9y2) = 0

Remove parenthesis around (3y + -9y2)
8y + -4y2 + 3y + -9y2 = 0

Reorder the terms:
8y + 3y + -4y2 + -9y2 = 0

Combine like terms: 8y + 3y = 11y
11y + -4y2 + -9y2 = 0

Combine like terms: -4y2 + -9y2 = -13y2
11y + -13y2 = 0

Solving
11y + -13y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(11 + -13y) = 0

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 '(11 + -13y)' equal to zero and attempt to solve: Simplifying 11 + -13y = 0 Solving 11 + -13y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -13y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -13y = 0 + -11 -13y = 0 + -11 Combine like terms: 0 + -11 = -11 -13y = -11 Divide each side by '-13'. y = 0.8461538462 Simplifying y = 0.8461538462

Solution

y = {0, 0.8461538462}

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