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Simplifying 12y6 + 23y3 + 10 = 0 Reorder the terms: 10 + 23y3 + 12y6 = 0 Solving 10 + 23y3 + 12y6 = 0 Solving for variable 'y'. Factor a trinomial. (5 + 4y3)(2 + 3y3) = 0Subproblem 1
Set the factor '(5 + 4y3)' equal to zero and attempt to solve: Simplifying 5 + 4y3 = 0 Solving 5 + 4y3 = 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 + 4y3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4y3 = 0 + -5 4y3 = 0 + -5 Combine like terms: 0 + -5 = -5 4y3 = -5 Divide each side by '4'. y3 = -1.25 Simplifying y3 = -1.25 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + 3y3)' equal to zero and attempt to solve: Simplifying 2 + 3y3 = 0 Solving 2 + 3y3 = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3y3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3y3 = 0 + -2 3y3 = 0 + -2 Combine like terms: 0 + -2 = -2 3y3 = -2 Divide each side by '3'. y3 = -0.6666666667 Simplifying y3 = -0.6666666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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