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Simplifying (4y2 + -5y + 2) + -1(6y2 + -5) = 0 Reorder the terms: (2 + -5y + 4y2) + -1(6y2 + -5) = 0 Remove parenthesis around (2 + -5y + 4y2) 2 + -5y + 4y2 + -1(6y2 + -5) = 0 Reorder the terms: 2 + -5y + 4y2 + -1(-5 + 6y2) = 0 2 + -5y + 4y2 + (-5 * -1 + 6y2 * -1) = 0 2 + -5y + 4y2 + (5 + -6y2) = 0 Reorder the terms: 2 + 5 + -5y + 4y2 + -6y2 = 0 Combine like terms: 2 + 5 = 7 7 + -5y + 4y2 + -6y2 = 0 Combine like terms: 4y2 + -6y2 = -2y2 7 + -5y + -2y2 = 0 Solving 7 + -5y + -2y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -1y)(7 + 2y) = 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 + 2y)' equal to zero and attempt to solve: Simplifying 7 + 2y = 0 Solving 7 + 2y = 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 + 2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2y = 0 + -7 2y = 0 + -7 Combine like terms: 0 + -7 = -7 2y = -7 Divide each side by '2'. y = -3.5 Simplifying y = -3.5Solution
y = {1, -3.5}
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