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Simplifying (4y + 5)(3y + -5) = 0 Reorder the terms: (5 + 4y)(3y + -5) = 0 Reorder the terms: (5 + 4y)(-5 + 3y) = 0 Multiply (5 + 4y) * (-5 + 3y) (5(-5 + 3y) + 4y * (-5 + 3y)) = 0 ((-5 * 5 + 3y * 5) + 4y * (-5 + 3y)) = 0 ((-25 + 15y) + 4y * (-5 + 3y)) = 0 (-25 + 15y + (-5 * 4y + 3y * 4y)) = 0 (-25 + 15y + (-20y + 12y2)) = 0 Combine like terms: 15y + -20y = -5y (-25 + -5y + 12y2) = 0 Solving -25 + -5y + 12y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + -4y)(5 + -3y) = 0Subproblem 1
Set the factor '(-5 + -4y)' equal to zero and attempt to solve: Simplifying -5 + -4y = 0 Solving -5 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4y = 0 + 5 -4y = 0 + 5 Combine like terms: 0 + 5 = 5 -4y = 5 Divide each side by '-4'. y = -1.25 Simplifying y = -1.25Subproblem 2
Set the factor '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667Solution
y = {-1.25, 1.666666667}
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