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Simplifying X4 + 15x2 + -16 = 0 Reorder the terms: -16 + X4 + 15x2 = 0 Solving -16 + X4 + 15x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '16' to each side of the equation. -16 + X4 + 16 + 15x2 = 0 + 16 Reorder the terms: -16 + 16 + X4 + 15x2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + X4 + 15x2 = 0 + 16 X4 + 15x2 = 0 + 16 Combine like terms: 0 + 16 = 16 X4 + 15x2 = 16 Add '-15x2' to each side of the equation. X4 + 15x2 + -15x2 = 16 + -15x2 Combine like terms: 15x2 + -15x2 = 0 X4 + 0 = 16 + -15x2 X4 = 16 + -15x2 Simplifying X4 = 16 + -15x2 Reorder the terms: -16 + X4 + 15x2 = 16 + -15x2 + -16 + 15x2 Reorder the terms: -16 + X4 + 15x2 = 16 + -16 + -15x2 + 15x2 Combine like terms: 16 + -16 = 0 -16 + X4 + 15x2 = 0 + -15x2 + 15x2 -16 + X4 + 15x2 = -15x2 + 15x2 Combine like terms: -15x2 + 15x2 = 0 -16 + X4 + 15x2 = 0 Factor a trinomial. (X2 + -15x)(X2 + -1x) = 0Subproblem 1
Set the factor '(X2 + -15x)' equal to zero and attempt to solve: Simplifying X2 + -15x = 0 Solving X2 + -15x = 0 Move all terms containing X to the left, all other terms to the right. Add '15x' to each side of the equation. X2 + -15x + 15x = 0 + 15x Combine like terms: -15x + 15x = 0 X2 + 0 = 0 + 15x X2 = 0 + 15x Remove the zero: X2 = 15x Simplifying X2 = 15x 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 '(X2 + -1x)' equal to zero and attempt to solve: Simplifying X2 + -1x = 0 Solving X2 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add 'x' to each side of the equation. X2 + -1x + x = 0 + x Combine like terms: -1x + x = 0 X2 + 0 = 0 + x X2 = 0 + x Remove the zero: X2 = x Simplifying X2 = x 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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