4(2y-30)(y-2)=0

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Solution for 4(2y-30)(y-2)=0 equation: 


Simplifying
4(2y + -30)(y + -2) = 0

Reorder the terms:
4(-30 + 2y)(y + -2) = 0

Reorder the terms:
4(-30 + 2y)(-2 + y) = 0

Multiply (-30 + 2y) * (-2 + y)
4(-30(-2 + y) + 2y * (-2 + y)) = 0
4((-2 * -30 + y * -30) + 2y * (-2 + y)) = 0
4((60 + -30y) + 2y * (-2 + y)) = 0
4(60 + -30y + (-2 * 2y + y * 2y)) = 0
4(60 + -30y + (-4y + 2y2)) = 0

Combine like terms: -30y + -4y = -34y
4(60 + -34y + 2y2) = 0
(60 * 4 + -34y * 4 + 2y2 * 4) = 0
(240 + -136y + 8y2) = 0

Solving
240 + -136y + 8y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '8'.
8(30 + -17y + y2) = 0

Factor a trinomial.
8((2 + -1y)(15 + -1y)) = 0

Ignore the factor 8.

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 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 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2

Subproblem 2
Set the factor '(15 + -1y)' equal to zero and attempt to solve:

Simplifying
15 + -1y = 0

Solving
15 + -1y = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1y = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1y = 0 + -15
-1y = 0 + -15

Combine like terms: 0 + -15 = -15
-1y = -15

Divide each side by '-1'.
y = 15

Simplifying
y = 15
Solution
y = {2, 15}

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