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Simplifying 4y(y + 7) + -5(y + 7) = 0 Reorder the terms: 4y(7 + y) + -5(y + 7) = 0 (7 * 4y + y * 4y) + -5(y + 7) = 0 (28y + 4y2) + -5(y + 7) = 0 Reorder the terms: 28y + 4y2 + -5(7 + y) = 0 28y + 4y2 + (7 * -5 + y * -5) = 0 28y + 4y2 + (-35 + -5y) = 0 Reorder the terms: -35 + 28y + -5y + 4y2 = 0 Combine like terms: 28y + -5y = 23y -35 + 23y + 4y2 = 0 Solving -35 + 23y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + -1y)(5 + -4y) = 0Subproblem 1
Set the factor '(-7 + -1y)' equal to zero and attempt to solve: Simplifying -7 + -1y = 0 Solving -7 + -1y = 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 + -1y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = 0 + 7 -1y = 0 + 7 Combine like terms: 0 + 7 = 7 -1y = 7 Divide each side by '-1'. y = -7 Simplifying y = -7Subproblem 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 = {-7, 1.25}
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