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

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


Simplifying
(3y + -2)(y + -2) + -1y + -3y + -4 = 0

Reorder the terms:
(-2 + 3y)(y + -2) + -1y + -3y + -4 = 0

Reorder the terms:
(-2 + 3y)(-2 + y) + -1y + -3y + -4 = 0

Multiply (-2 + 3y) * (-2 + y)
(-2(-2 + y) + 3y * (-2 + y)) + -1y + -3y + -4 = 0
((-2 * -2 + y * -2) + 3y * (-2 + y)) + -1y + -3y + -4 = 0
((4 + -2y) + 3y * (-2 + y)) + -1y + -3y + -4 = 0
(4 + -2y + (-2 * 3y + y * 3y)) + -1y + -3y + -4 = 0
(4 + -2y + (-6y + 3y2)) + -1y + -3y + -4 = 0

Combine like terms: -2y + -6y = -8y
(4 + -8y + 3y2) + -1y + -3y + -4 = 0

Reorder the terms:
4 + -4 + -8y + -1y + -3y + 3y2 = 0

Combine like terms: 4 + -4 = 0
0 + -8y + -1y + -3y + 3y2 = 0
-8y + -1y + -3y + 3y2 = 0

Combine like terms: -8y + -1y = -9y
-9y + -3y + 3y2 = 0

Combine like terms: -9y + -3y = -12y
-12y + 3y2 = 0

Solving
-12y + 3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(-4 + y) = 0

Ignore the factor 3.

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 '(-4 + y)' equal to zero and attempt to solve: Simplifying -4 + y = 0 Solving -4 + y = 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 + y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + y = 0 + 4 y = 0 + 4 Combine like terms: 0 + 4 = 4 y = 4 Simplifying y = 4

Solution

y = {0, 4}

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