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Simplifying 16y4 + 32y2 + 7 = 0 Reorder the terms: 7 + 32y2 + 16y4 = 0 Solving 7 + 32y2 + 16y4 = 0 Solving for variable 'y'. Factor a trinomial. (7 + 4y2)(1 + 4y2) = 0Subproblem 1
Set the factor '(7 + 4y2)' equal to zero and attempt to solve: Simplifying 7 + 4y2 = 0 Solving 7 + 4y2 = 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 + 4y2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4y2 = 0 + -7 4y2 = 0 + -7 Combine like terms: 0 + -7 = -7 4y2 = -7 Divide each side by '4'. y2 = -1.75 Simplifying y2 = -1.75 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 '(1 + 4y2)' equal to zero and attempt to solve: Simplifying 1 + 4y2 = 0 Solving 1 + 4y2 = 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 + 4y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4y2 = 0 + -1 4y2 = 0 + -1 Combine like terms: 0 + -1 = -1 4y2 = -1 Divide each side by '4'. y2 = -0.25 Simplifying y2 = -0.25 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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