36x-16x=9x-4x^4

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Solution for 36x-16x=9x-4x^4 equation:


Simplifying
36x + -16x = 9x + -4x4

Combine like terms: 36x + -16x = 20x
20x = 9x + -4x4

Solving
20x = 9x + -4x4

Solving for variable 'x'.

Combine like terms: 20x + -9x = 11x
11x + 4x4 = 9x + -4x4 + -9x + 4x4

Reorder the terms:
11x + 4x4 = 9x + -9x + -4x4 + 4x4

Combine like terms: 9x + -9x = 0
11x + 4x4 = 0 + -4x4 + 4x4
11x + 4x4 = -4x4 + 4x4

Combine like terms: -4x4 + 4x4 = 0
11x + 4x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(11 + 4x3) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(11 + 4x3)' equal to zero and attempt to solve: Simplifying 11 + 4x3 = 0 Solving 11 + 4x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4x3 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4x3 = 0 + -11 4x3 = 0 + -11 Combine like terms: 0 + -11 = -11 4x3 = -11 Divide each side by '4'. x3 = -2.75 Simplifying x3 = -2.75 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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