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

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


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

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

Multiply (4 + -2y) * (-4 + -3y)
(4(-4 + -3y) + -2y * (-4 + -3y)) = 0
((-4 * 4 + -3y * 4) + -2y * (-4 + -3y)) = 0
((-16 + -12y) + -2y * (-4 + -3y)) = 0
(-16 + -12y + (-4 * -2y + -3y * -2y)) = 0
(-16 + -12y + (8y + 6y2)) = 0

Combine like terms: -12y + 8y = -4y
(-16 + -4y + 6y2) = 0

Solving
-16 + -4y + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + -2y + 3y2) = 0

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

Ignore the factor 2.

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 '(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

Solution

y = {-1.333333333, 2}

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