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Simplifying 4(3y2 + -7y + 4) + -1(1) = 0 Reorder the terms: 4(4 + -7y + 3y2) + -1(1) = 0 (4 * 4 + -7y * 4 + 3y2 * 4) + -1(1) = 0 (16 + -28y + 12y2) + -1(1) = 0 Multiply -1 * 1 16 + -28y + 12y2 + -1 = 0 Reorder the terms: 16 + -1 + -28y + 12y2 = 0 Combine like terms: 16 + -1 = 15 15 + -28y + 12y2 = 0 Solving 15 + -28y + 12y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -6y)(3 + -2y) = 0Subproblem 1
Set the factor '(5 + -6y)' equal to zero and attempt to solve: Simplifying 5 + -6y = 0 Solving 5 + -6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6y = 0 + -5 -6y = 0 + -5 Combine like terms: 0 + -5 = -5 -6y = -5 Divide each side by '-6'. y = 0.8333333333 Simplifying y = 0.8333333333Subproblem 2
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 = 1.5Solution
y = {0.8333333333, 1.5}
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