5x^3-2x^2+x+4x^3=

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Solution for 5x^3-2x^2+x+4x^3= equation:


Simplifying
5x3 + -2x2 + x + 4x3 = 0

Reorder the terms:
x + -2x2 + 5x3 + 4x3 = 0

Combine like terms: 5x3 + 4x3 = 9x3
x + -2x2 + 9x3 = 0

Solving
x + -2x2 + 9x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + -2x + 9x2) = 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 '(1 + -2x + 9x2)' equal to zero and attempt to solve: Simplifying 1 + -2x + 9x2 = 0 Solving 1 + -2x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.1111111111 + -0.2222222222x + x2 = 0 Move the constant term to the right: Add '-0.1111111111' to each side of the equation. 0.1111111111 + -0.2222222222x + -0.1111111111 + x2 = 0 + -0.1111111111 Reorder the terms: 0.1111111111 + -0.1111111111 + -0.2222222222x + x2 = 0 + -0.1111111111 Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000 0.0000000000 + -0.2222222222x + x2 = 0 + -0.1111111111 -0.2222222222x + x2 = 0 + -0.1111111111 Combine like terms: 0 + -0.1111111111 = -0.1111111111 -0.2222222222x + x2 = -0.1111111111 The x term is -0.2222222222x. Take half its coefficient (-0.1111111111). Square it (0.01234567901) and add it to both sides. Add '0.01234567901' to each side of the equation. -0.2222222222x + 0.01234567901 + x2 = -0.1111111111 + 0.01234567901 Reorder the terms: 0.01234567901 + -0.2222222222x + x2 = -0.1111111111 + 0.01234567901 Combine like terms: -0.1111111111 + 0.01234567901 = -0.09876543209 0.01234567901 + -0.2222222222x + x2 = -0.09876543209 Factor a perfect square on the left side: (x + -0.1111111111)(x + -0.1111111111) = -0.09876543209 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.

Solution

x = {0}

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