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

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


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

Reorder the terms:
2y(4 + 5y) + -2y(3y + -3) = 0
(4 * 2y + 5y * 2y) + -2y(3y + -3) = 0
(8y + 10y2) + -2y(3y + -3) = 0

Reorder the terms:
8y + 10y2 + -2y(-3 + 3y) = 0
8y + 10y2 + (-3 * -2y + 3y * -2y) = 0
8y + 10y2 + (6y + -6y2) = 0

Reorder the terms:
8y + 6y + 10y2 + -6y2 = 0

Combine like terms: 8y + 6y = 14y
14y + 10y2 + -6y2 = 0

Combine like terms: 10y2 + -6y2 = 4y2
14y + 4y2 = 0

Solving
14y + 4y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(7 + 2y) = 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 '(7 + 2y)' equal to zero and attempt to solve:

Simplifying
7 + 2y = 0

Solving
7 + 2y = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2y = 0 + -7
2y = 0 + -7

Combine like terms: 0 + -7 = -7
2y = -7

Divide each side by '2'.
y = -3.5

Simplifying
y = -3.5
Solution
y = {0, -3.5}

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