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Simplifying y6 + -10y3 = -21 Reorder the terms: -10y3 + y6 = -21 Solving -10y3 + y6 = -21 Solving for variable 'y'. Reorder the terms: 21 + -10y3 + y6 = -21 + 21 Combine like terms: -21 + 21 = 0 21 + -10y3 + y6 = 0 Factor a trinomial. (3 + -1y3)(7 + -1y3) = 0Subproblem 1
Set the factor '(3 + -1y3)' equal to zero and attempt to solve: Simplifying 3 + -1y3 = 0 Solving 3 + -1y3 = 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 + -1y3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y3 = 0 + -3 -1y3 = 0 + -3 Combine like terms: 0 + -3 = -3 -1y3 = -3 Divide each side by '-1'. y3 = 3 Simplifying y3 = 3 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 '(7 + -1y3)' equal to zero and attempt to solve: Simplifying 7 + -1y3 = 0 Solving 7 + -1y3 = 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 + -1y3 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y3 = 0 + -7 -1y3 = 0 + -7 Combine like terms: 0 + -7 = -7 -1y3 = -7 Divide each side by '-1'. y3 = 7 Simplifying y3 = 7 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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