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Simplifying 0 = 12y2 + 17y + -7 Reorder the terms: 0 = -7 + 17y + 12y2 Solving 0 = -7 + 17y + 12y2 Solving for variable 'y'. Combine like terms: 0 + 7 = 7 7 + -17y + -12y2 = -7 + 17y + 12y2 + 7 + -17y + -12y2 Reorder the terms: 7 + -17y + -12y2 = -7 + 7 + 17y + -17y + 12y2 + -12y2 Combine like terms: -7 + 7 = 0 7 + -17y + -12y2 = 0 + 17y + -17y + 12y2 + -12y2 7 + -17y + -12y2 = 17y + -17y + 12y2 + -12y2 Combine like terms: 17y + -17y = 0 7 + -17y + -12y2 = 0 + 12y2 + -12y2 7 + -17y + -12y2 = 12y2 + -12y2 Combine like terms: 12y2 + -12y2 = 0 7 + -17y + -12y2 = 0 Factor a trinomial. (1 + -3y)(7 + 4y) = 0Subproblem 1
Set the factor '(1 + -3y)' equal to zero and attempt to solve: Simplifying 1 + -3y = 0 Solving 1 + -3y = 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 + -3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3y = 0 + -1 -3y = 0 + -1 Combine like terms: 0 + -1 = -1 -3y = -1 Divide each side by '-3'. y = 0.3333333333 Simplifying y = 0.3333333333Subproblem 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 = {0.3333333333, -1.75}
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