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Simplifying (3y + 1)(y + -4) = 0 Reorder the terms: (1 + 3y)(y + -4) = 0 Reorder the terms: (1 + 3y)(-4 + y) = 0 Multiply (1 + 3y) * (-4 + y) (1(-4 + y) + 3y * (-4 + y)) = 0 ((-4 * 1 + y * 1) + 3y * (-4 + y)) = 0 ((-4 + 1y) + 3y * (-4 + y)) = 0 (-4 + 1y + (-4 * 3y + y * 3y)) = 0 (-4 + 1y + (-12y + 3y2)) = 0 Combine like terms: 1y + -12y = -11y (-4 + -11y + 3y2) = 0 Solving -4 + -11y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -3y)(4 + -1y) = 0Subproblem 1
Set the factor '(-1 + -3y)' equal to zero and attempt to solve: Simplifying -1 + -3y = 0 Solving -1 + -3y = 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 + -3y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3y = 0 + 1 -3y = 0 + 1 Combine like terms: 0 + 1 = 1 -3y = 1 Divide each side by '-3'. y = -0.3333333333 Simplifying y = -0.3333333333Subproblem 2
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 = 4Solution
y = {-0.3333333333, 4}
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