21x^4+28x^8+7=0

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Solution for 21x^4+28x^8+7=0 equation:


Simplifying
21x4 + 28x8 + 7 = 0

Reorder the terms:
7 + 21x4 + 28x8 = 0

Solving
7 + 21x4 + 28x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(1 + 3x4 + 4x8) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(1 + 3x4 + 4x8)' equal to zero and attempt to solve: Simplifying 1 + 3x4 + 4x8 = 0 Solving 1 + 3x4 + 4x8 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.25 + 0.75x4 + x8 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + 0.75x4 + -0.25 + x8 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + 0.75x4 + x8 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.75x4 + x8 = 0 + -0.25 0.75x4 + x8 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 0.75x4 + x8 = -0.25 The x term is 0.75x4. Take half its coefficient (0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. 0.75x4 + 0.140625 + x8 = -0.25 + 0.140625 Reorder the terms: 0.140625 + 0.75x4 + x8 = -0.25 + 0.140625 Combine like terms: -0.25 + 0.140625 = -0.109375 0.140625 + 0.75x4 + x8 = -0.109375 Factor a perfect square on the left side: (x4 + 0.375)(x4 + 0.375) = -0.109375 Can't calculate square root of the right side. 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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