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Simplifying (3 + y)(5y + -7) = 0 Reorder the terms: (3 + y)(-7 + 5y) = 0 Multiply (3 + y) * (-7 + 5y) (3(-7 + 5y) + y(-7 + 5y)) = 0 ((-7 * 3 + 5y * 3) + y(-7 + 5y)) = 0 ((-21 + 15y) + y(-7 + 5y)) = 0 (-21 + 15y + (-7 * y + 5y * y)) = 0 (-21 + 15y + (-7y + 5y2)) = 0 Combine like terms: 15y + -7y = 8y (-21 + 8y + 5y2) = 0 Solving -21 + 8y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + -1y)(7 + -5y) = 0Subproblem 1
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 = -3Subproblem 2
Set the factor '(7 + -5y)' equal to zero and attempt to solve: Simplifying 7 + -5y = 0 Solving 7 + -5y = 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 + -5y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5y = 0 + -7 -5y = 0 + -7 Combine like terms: 0 + -7 = -7 -5y = -7 Divide each side by '-5'. y = 1.4 Simplifying y = 1.4Solution
y = {-3, 1.4}
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