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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) = 0Subproblem 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 = 1.333333333Subproblem 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 = 1Solution
y = {1.333333333, 1}
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