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Simplifying (-4y + 5)(-7 + -3y) = 0 Reorder the terms: (5 + -4y)(-7 + -3y) = 0 Multiply (5 + -4y) * (-7 + -3y) (5(-7 + -3y) + -4y * (-7 + -3y)) = 0 ((-7 * 5 + -3y * 5) + -4y * (-7 + -3y)) = 0 ((-35 + -15y) + -4y * (-7 + -3y)) = 0 (-35 + -15y + (-7 * -4y + -3y * -4y)) = 0 (-35 + -15y + (28y + 12y2)) = 0 Combine like terms: -15y + 28y = 13y (-35 + 13y + 12y2) = 0 Solving -35 + 13y + 12y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + -3y)(5 + -4y) = 0Subproblem 1
Set the factor '(-7 + -3y)' equal to zero and attempt to solve: Simplifying -7 + -3y = 0 Solving -7 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3y = 0 + 7 -3y = 0 + 7 Combine like terms: 0 + 7 = 7 -3y = 7 Divide each side by '-3'. y = -2.333333333 Simplifying y = -2.333333333Subproblem 2
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 = 1.25Solution
y = {-2.333333333, 1.25}
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