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Simplifying (6 + -1y)(4y + 7) = 0 Reorder the terms: (6 + -1y)(7 + 4y) = 0 Multiply (6 + -1y) * (7 + 4y) (6(7 + 4y) + -1y * (7 + 4y)) = 0 ((7 * 6 + 4y * 6) + -1y * (7 + 4y)) = 0 ((42 + 24y) + -1y * (7 + 4y)) = 0 (42 + 24y + (7 * -1y + 4y * -1y)) = 0 (42 + 24y + (-7y + -4y2)) = 0 Combine like terms: 24y + -7y = 17y (42 + 17y + -4y2) = 0 Solving 42 + 17y + -4y2 = 0 Solving for variable 'y'. Factor a trinomial. (6 + -1y)(7 + 4y) = 0Subproblem 1
Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6Subproblem 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 = {6, -1.75}
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