x^3+3x^2+5x=

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


Simplifying
x3 + 3x2 + 5x = 0

Reorder the terms:
5x + 3x2 + x3 = 0

Solving
5x + 3x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + 3x + x2) = 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 '(5 + 3x + x2)' equal to zero and attempt to solve: Simplifying 5 + 3x + x2 = 0 Solving 5 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 3x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + 3x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x + x2 = 0 + -5 3x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 3x + x2 = -5 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -5 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -5 + 2.25 Combine like terms: -5 + 2.25 = -2.75 2.25 + 3x + x2 = -2.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -2.75 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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