2y(4y+3)+7y(5y-2)=

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Solution for 2y(4y+3)+7y(5y-2)= equation: 


Simplifying
2y(4y + 3) + 7y(5y + -2) = 0

Reorder the terms:
2y(3 + 4y) + 7y(5y + -2) = 0
(3 * 2y + 4y * 2y) + 7y(5y + -2) = 0
(6y + 8y2) + 7y(5y + -2) = 0

Reorder the terms:
6y + 8y2 + 7y(-2 + 5y) = 0
6y + 8y2 + (-2 * 7y + 5y * 7y) = 0
6y + 8y2 + (-14y + 35y2) = 0

Reorder the terms:
6y + -14y + 8y2 + 35y2 = 0

Combine like terms: 6y + -14y = -8y
-8y + 8y2 + 35y2 = 0

Combine like terms: 8y2 + 35y2 = 43y2
-8y + 43y2 = 0

Solving
-8y + 43y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-8 + 43y) = 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 '(-8 + 43y)' equal to zero and attempt to solve:

Simplifying
-8 + 43y = 0

Solving
-8 + 43y = 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 + 43y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 43y = 0 + 8
43y = 0 + 8

Combine like terms: 0 + 8 = 8
43y = 8

Divide each side by '43'.
y = 0.1860465116

Simplifying
y = 0.1860465116
Solution
y = {0, 0.1860465116}

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