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Simplifying 10y4 + 29y2 + 21 = 0 Reorder the terms: 21 + 29y2 + 10y4 = 0 Solving 21 + 29y2 + 10y4 = 0 Solving for variable 'y'. Factor a trinomial. (3 + 2y2)(7 + 5y2) = 0Subproblem 1
Set the factor '(3 + 2y2)' equal to zero and attempt to solve: Simplifying 3 + 2y2 = 0 Solving 3 + 2y2 = 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 + 2y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y2 = 0 + -3 2y2 = 0 + -3 Combine like terms: 0 + -3 = -3 2y2 = -3 Divide each side by '2'. y2 = -1.5 Simplifying y2 = -1.5 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 + 5y2)' equal to zero and attempt to solve: Simplifying 7 + 5y2 = 0 Solving 7 + 5y2 = 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 + 5y2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5y2 = 0 + -7 5y2 = 0 + -7 Combine like terms: 0 + -7 = -7 5y2 = -7 Divide each side by '5'. y2 = -1.4 Simplifying y2 = -1.4 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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