(1-y)(3y-4)=

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Solution for (1-y)(3y-4)= equation:


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

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

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

Combine like terms: 3y + 4y = 7y
(-4 + 7y + -3y2) = 0

Solving
-4 + 7y + -3y2 = 0

Solving for variable 'y'.

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

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 '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1

Solution

y = {1.333333333, 1}

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