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

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Solution for (4+y)(3y-2)=0 equation:


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

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

Multiply (4 + y) * (-2 + 3y)
(4(-2 + 3y) + y(-2 + 3y)) = 0
((-2 * 4 + 3y * 4) + y(-2 + 3y)) = 0
((-8 + 12y) + y(-2 + 3y)) = 0
(-8 + 12y + (-2 * y + 3y * y)) = 0
(-8 + 12y + (-2y + 3y2)) = 0

Combine like terms: 12y + -2y = 10y
(-8 + 10y + 3y2) = 0

Solving
-8 + 10y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-4 + -1y)(2 + -3y) = 0

Subproblem 1

Set the factor '(-4 + -1y)' equal to zero and attempt to solve: Simplifying -4 + -1y = 0 Solving -4 + -1y = 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 + -1y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 0 + 4 -1y = 0 + 4 Combine like terms: 0 + 4 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4

Subproblem 2

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

Solution

y = {-4, 0.6666666667}

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