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Simplifying 2y(y + -7) + 3(7 + -1y) = 0 Reorder the terms: 2y(-7 + y) + 3(7 + -1y) = 0 (-7 * 2y + y * 2y) + 3(7 + -1y) = 0 (-14y + 2y2) + 3(7 + -1y) = 0 -14y + 2y2 + (7 * 3 + -1y * 3) = 0 -14y + 2y2 + (21 + -3y) = 0 Reorder the terms: 21 + -14y + -3y + 2y2 = 0 Combine like terms: -14y + -3y = -17y 21 + -17y + 2y2 = 0 Solving 21 + -17y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + -2y)(7 + -1y) = 0Subproblem 1
Set the factor '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 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 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5Subproblem 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 = {1.5, 7}
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