4x^3+3x+5=5

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Solution for 4x^3+3x+5=5 equation:


Simplifying
4x3 + 3x + 5 = 5

Reorder the terms:
5 + 3x + 4x3 = 5

Add '-5' to each side of the equation.
5 + 3x + -5 + 4x3 = 5 + -5

Reorder the terms:
5 + -5 + 3x + 4x3 = 5 + -5

Combine like terms: 5 + -5 = 0
0 + 3x + 4x3 = 5 + -5
3x + 4x3 = 5 + -5

Combine like terms: 5 + -5 = 0
3x + 4x3 = 0

Solving
3x + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + 4x2) = 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 '(3 + 4x2)' equal to zero and attempt to solve: Simplifying 3 + 4x2 = 0 Solving 3 + 4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x2 = 0 + -3 4x2 = 0 + -3 Combine like terms: 0 + -3 = -3 4x2 = -3 Divide each side by '4'. x2 = -0.75 Simplifying x2 = -0.75 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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