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Simplifying (1 + y)(4y + -7) = 0 Reorder the terms: (1 + y)(-7 + 4y) = 0 Multiply (1 + y) * (-7 + 4y) (1(-7 + 4y) + y(-7 + 4y)) = 0 ((-7 * 1 + 4y * 1) + y(-7 + 4y)) = 0 ((-7 + 4y) + y(-7 + 4y)) = 0 (-7 + 4y + (-7 * y + 4y * y)) = 0 (-7 + 4y + (-7y + 4y2)) = 0 Combine like terms: 4y + -7y = -3y (-7 + -3y + 4y2) = 0 Solving -7 + -3y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -1y)(7 + -4y) = 0Subproblem 1
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 = -1Subproblem 2
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 = 1.75Solution
y = {-1, 1.75}
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