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Simplifying (y + -7)(3y + 23) = 0 Reorder the terms: (-7 + y)(3y + 23) = 0 Reorder the terms: (-7 + y)(23 + 3y) = 0 Multiply (-7 + y) * (23 + 3y) (-7(23 + 3y) + y(23 + 3y)) = 0 ((23 * -7 + 3y * -7) + y(23 + 3y)) = 0 ((-161 + -21y) + y(23 + 3y)) = 0 (-161 + -21y + (23 * y + 3y * y)) = 0 (-161 + -21y + (23y + 3y2)) = 0 Combine like terms: -21y + 23y = 2y (-161 + 2y + 3y2) = 0 Solving -161 + 2y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (-23 + -3y)(7 + -1y) = 0Subproblem 1
Set the factor '(-23 + -3y)' equal to zero and attempt to solve: Simplifying -23 + -3y = 0 Solving -23 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -3y = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -3y = 0 + 23 -3y = 0 + 23 Combine like terms: 0 + 23 = 23 -3y = 23 Divide each side by '-3'. y = -7.666666667 Simplifying y = -7.666666667Subproblem 2
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 = 7Solution
y = {-7.666666667, 7}
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