p^4x-6=1

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Solution for p^4x-6=1 equation:


Simplifying
p4x + -6 = 1

Reorder the terms:
-6 + p4x = 1

Solving
-6 + p4x = 1

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + p4x = 1 + 6

Combine like terms: -6 + 6 = 0
0 + p4x = 1 + 6
p4x = 1 + 6

Combine like terms: 1 + 6 = 7
p4x = 7

Divide each side by 'x'.
p4 = 7x-1

Simplifying
p4 = 7x-1

Combine like terms: 7x-1 + -7x-1 = 0
p4 + -7x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(p4x + -7) = 0

Subproblem 1

Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing p to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-1 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 '(p4x + -7)' equal to zero and attempt to solve: Simplifying p4x + -7 = 0 Reorder the terms: -7 + p4x = 0 Solving -7 + p4x = 0 Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + p4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + p4x = 0 + 7 p4x = 0 + 7 Combine like terms: 0 + 7 = 7 p4x = 7 Divide each side by 'x'. p4 = 7x-1 Simplifying p4 = 7x-1 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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