7x^4+28x^3+42x^2+28x+15=8

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Solution for 7x^4+28x^3+42x^2+28x+15=8 equation:


Simplifying
7x4 + 28x3 + 42x2 + 28x + 15 = 8

Reorder the terms:
15 + 28x + 42x2 + 28x3 + 7x4 = 8

Solving
15 + 28x + 42x2 + 28x3 + 7x4 = 8

Solving for variable 'x'.

Reorder the terms:
15 + -8 + 28x + 42x2 + 28x3 + 7x4 = 8 + -8

Combine like terms: 15 + -8 = 7
7 + 28x + 42x2 + 28x3 + 7x4 = 8 + -8

Combine like terms: 8 + -8 = 0
7 + 28x + 42x2 + 28x3 + 7x4 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(1 + 4x + 6x2 + 4x3 + x4) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(1 + 4x + 6x2 + 4x3 + x4)' equal to zero and attempt to solve: Simplifying 1 + 4x + 6x2 + 4x3 + x4 = 0 Solving 1 + 4x + 6x2 + 4x3 + x4 = 0 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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