0=-3x^5-9x^4-30x^3

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Solution for 0=-3x^5-9x^4-30x^3 equation: 


Simplifying
0 = -3x5 + -9x4 + -30x3

Reorder the terms:
0 = -30x3 + -9x4 + -3x5

Solving
0 = -30x3 + -9x4 + -3x5

Solving for variable 'x'.
Remove the zero:
30x3 + 9x4 + 3x5 = -30x3 + -9x4 + -3x5 + 30x3 + 9x4 + 3x5

Reorder the terms:
30x3 + 9x4 + 3x5 = -30x3 + 30x3 + -9x4 + 9x4 + -3x5 + 3x5

Combine like terms: -30x3 + 30x3 = 0
30x3 + 9x4 + 3x5 = 0 + -9x4 + 9x4 + -3x5 + 3x5
30x3 + 9x4 + 3x5 = -9x4 + 9x4 + -3x5 + 3x5

Combine like terms: -9x4 + 9x4 = 0
30x3 + 9x4 + 3x5 = 0 + -3x5 + 3x5
30x3 + 9x4 + 3x5 = -3x5 + 3x5

Combine like terms: -3x5 + 3x5 = 0
30x3 + 9x4 + 3x5 = 0

Factor out the Greatest Common Factor (GCF), '3x3'.
3x3(10 + 3x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(10 + 3x + x2)' equal to zero and attempt to solve:

Simplifying
10 + 3x + x2 = 0

Solving
10 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 3x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + 3x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3x + x2 = 0 + -10
3x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
3x + x2 = -10

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 = -10 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -10 + 2.25

Combine like terms: -10 + 2.25 = -7.75
2.25 + 3x + x2 = -7.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -7.75

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.

The solution to this equation could not be determined.

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