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Simplifying (5y + -4)(3y + -1) = 0 Reorder the terms: (-4 + 5y)(3y + -1) = 0 Reorder the terms: (-4 + 5y)(-1 + 3y) = 0 Multiply (-4 + 5y) * (-1 + 3y) (-4(-1 + 3y) + 5y * (-1 + 3y)) = 0 ((-1 * -4 + 3y * -4) + 5y * (-1 + 3y)) = 0 ((4 + -12y) + 5y * (-1 + 3y)) = 0 (4 + -12y + (-1 * 5y + 3y * 5y)) = 0 (4 + -12y + (-5y + 15y2)) = 0 Combine like terms: -12y + -5y = -17y (4 + -17y + 15y2) = 0 Solving 4 + -17y + 15y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -3y)(4 + -5y) = 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 + -5y)' equal to zero and attempt to solve: Simplifying 4 + -5y = 0 Solving 4 + -5y = 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 + -5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5y = 0 + -4 -5y = 0 + -4 Combine like terms: 0 + -4 = -4 -5y = -4 Divide each side by '-5'. y = 0.8 Simplifying y = 0.8Solution
y = {0.3333333333, 0.8}
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