15x^3+6x^2+9x=

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Solution for 15x^3+6x^2+9x= equation:


Simplifying
15x3 + 6x2 + 9x = 0

Reorder the terms:
9x + 6x2 + 15x3 = 0

Solving
9x + 6x2 + 15x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(3 + 2x + 5x2) = 0

Ignore the factor 3.

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 + 5x2)' equal to zero and attempt to solve: Simplifying 3 + 2x + 5x2 = 0 Solving 3 + 2x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.6 + 0.4x + x2 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + 0.4x + -0.6 + x2 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + 0.4x + x2 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.4x + x2 = 0 + -0.6 0.4x + x2 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 0.4x + x2 = -0.6 The x term is 0.4x. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4x + 0.04 + x2 = -0.6 + 0.04 Reorder the terms: 0.04 + 0.4x + x2 = -0.6 + 0.04 Combine like terms: -0.6 + 0.04 = -0.56 0.04 + 0.4x + x2 = -0.56 Factor a perfect square on the left side: (x + 0.2)(x + 0.2) = -0.56 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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