(-6y+4)(5y+2)=0

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Solution for (-6y+4)(5y+2)=0 equation: 


Simplifying
(-6y + 4)(5y + 2) = 0

Reorder the terms:
(4 + -6y)(5y + 2) = 0

Reorder the terms:
(4 + -6y)(2 + 5y) = 0

Multiply (4 + -6y) * (2 + 5y)
(4(2 + 5y) + -6y * (2 + 5y)) = 0
((2 * 4 + 5y * 4) + -6y * (2 + 5y)) = 0
((8 + 20y) + -6y * (2 + 5y)) = 0
(8 + 20y + (2 * -6y + 5y * -6y)) = 0
(8 + 20y + (-12y + -30y2)) = 0

Combine like terms: 20y + -12y = 8y
(8 + 8y + -30y2) = 0

Solving
8 + 8y + -30y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 4y + -15y2) = 0

Factor a trinomial.
2((2 + -3y)(2 + 5y)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -3y)' equal to zero and attempt to solve:

Simplifying
2 + -3y = 0

Solving
2 + -3y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3y = 0 + -2
-3y = 0 + -2

Combine like terms: 0 + -2 = -2
-3y = -2

Divide each side by '-3'.
y = 0.6666666667

Simplifying
y = 0.6666666667

Subproblem 2
Set the factor '(2 + 5y)' equal to zero and attempt to solve:

Simplifying
2 + 5y = 0

Solving
2 + 5y = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5y = 0 + -2
5y = 0 + -2

Combine like terms: 0 + -2 = -2
5y = -2

Divide each side by '5'.
y = -0.4

Simplifying
y = -0.4
Solution
y = {0.6666666667, -0.4}

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