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Simplifying (y + -3)(4y + 7) = 0 Reorder the terms: (-3 + y)(4y + 7) = 0 Reorder the terms: (-3 + y)(7 + 4y) = 0 Multiply (-3 + y) * (7 + 4y) (-3(7 + 4y) + y(7 + 4y)) = 0 ((7 * -3 + 4y * -3) + y(7 + 4y)) = 0 ((-21 + -12y) + y(7 + 4y)) = 0 (-21 + -12y + (7 * y + 4y * y)) = 0 (-21 + -12y + (7y + 4y2)) = 0 Combine like terms: -12y + 7y = -5y (-21 + -5y + 4y2) = 0 Solving -21 + -5y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + -4y)(3 + -1y) = 0Subproblem 1
Set the factor '(-7 + -4y)' equal to zero and attempt to solve: Simplifying -7 + -4y = 0 Solving -7 + -4y = 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 + -4y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4y = 0 + 7 -4y = 0 + 7 Combine like terms: 0 + 7 = 7 -4y = 7 Divide each side by '-4'. y = -1.75 Simplifying y = -1.75Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {-1.75, 3}
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