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Simplifying (1 + -1y)(5y + -7) = 0 Reorder the terms: (1 + -1y)(-7 + 5y) = 0 Multiply (1 + -1y) * (-7 + 5y) (1(-7 + 5y) + -1y * (-7 + 5y)) = 0 ((-7 * 1 + 5y * 1) + -1y * (-7 + 5y)) = 0 ((-7 + 5y) + -1y * (-7 + 5y)) = 0 (-7 + 5y + (-7 * -1y + 5y * -1y)) = 0 (-7 + 5y + (7y + -5y2)) = 0 Combine like terms: 5y + 7y = 12y (-7 + 12y + -5y2) = 0 Solving -7 + 12y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + 5y)(1 + -1y) = 0Subproblem 1
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 = 1.4Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Solution
y = {1.4, 1}
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