12x^2+24x^3+18x=

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Solution for 12x^2+24x^3+18x= equation:


Simplifying
12x2 + 24x3 + 18x = 0

Reorder the terms:
18x + 12x2 + 24x3 = 0

Solving
18x + 12x2 + 24x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(3 + 2x + 4x2) = 0

Ignore the factor 6.

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 + 2x + 4x2)' equal to zero and attempt to solve: Simplifying 3 + 2x + 4x2 = 0 Solving 3 + 2x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.75 + 0.5x + x2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + 0.5x + -0.75 + x2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + 0.5x + x2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 0.5x + x2 = 0 + -0.75 0.5x + x2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 0.5x + x2 = -0.75 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = -0.75 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -0.75 + 0.0625 Combine like terms: -0.75 + 0.0625 = -0.6875 0.0625 + 0.5x + x2 = -0.6875 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -0.6875 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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