8y(-3y+7)-11y^2=

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Solution for 8y(-3y+7)-11y^2= equation: 


Simplifying
8y(-3y + 7) + -11y2 = 0

Reorder the terms:
8y(7 + -3y) + -11y2 = 0
(7 * 8y + -3y * 8y) + -11y2 = 0
(56y + -24y2) + -11y2 = 0

Combine like terms: -24y2 + -11y2 = -35y2
56y + -35y2 = 0

Solving
56y + -35y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '7y'.
7y(8 + -5y) = 0

Ignore the factor 7.

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 '(8 + -5y)' equal to zero and attempt to solve:

Simplifying
8 + -5y = 0

Solving
8 + -5y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -5y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5y = 0 + -8
-5y = 0 + -8

Combine like terms: 0 + -8 = -8
-5y = -8

Divide each side by '-5'.
y = 1.6

Simplifying
y = 1.6
Solution
y = {0, 1.6}

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