(6y+8)(4y-10)=0

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Solution for (6y+8)(4y-10)=0 equation: 


Simplifying
(6y + 8)(4y + -10) = 0

Reorder the terms:
(8 + 6y)(4y + -10) = 0

Reorder the terms:
(8 + 6y)(-10 + 4y) = 0

Multiply (8 + 6y) * (-10 + 4y)
(8(-10 + 4y) + 6y * (-10 + 4y)) = 0
((-10 * 8 + 4y * 8) + 6y * (-10 + 4y)) = 0
((-80 + 32y) + 6y * (-10 + 4y)) = 0
(-80 + 32y + (-10 * 6y + 4y * 6y)) = 0
(-80 + 32y + (-60y + 24y2)) = 0

Combine like terms: 32y + -60y = -28y
(-80 + -28y + 24y2) = 0

Solving
-80 + -28y + 24y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-20 + -7y + 6y2) = 0

Factor a trinomial.
4((-4 + -3y)(5 + -2y)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-4 + -3y)' equal to zero and attempt to solve:

Simplifying
-4 + -3y = 0

Solving
-4 + -3y = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3y = 0 + 4
-3y = 0 + 4

Combine like terms: 0 + 4 = 4
-3y = 4

Divide each side by '-3'.
y = -1.333333333

Simplifying
y = -1.333333333

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

Simplifying
5 + -2y = 0

Solving
5 + -2y = 0

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

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

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

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

Divide each side by '-2'.
y = 2.5

Simplifying
y = 2.5
Solution
y = {-1.333333333, 2.5}

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