3x^7+15x^6+27x^5=0

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Solution for 3x^7+15x^6+27x^5=0 equation: 


Simplifying
3x7 + 15x6 + 27x5 = 0

Reorder the terms:
27x5 + 15x6 + 3x7 = 0

Solving
27x5 + 15x6 + 3x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x5'.
3x5(9 + 5x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x5' equal to zero and attempt to solve:

Simplifying
x5 = 0

Solving
x5 = 0

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

Simplifying
x5 = 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 '(9 + 5x + x2)' equal to zero and attempt to solve:

Simplifying
9 + 5x + x2 = 0

Solving
9 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + 5x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + 5x + x2 = 0 + -9

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

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

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = -9 + 6.25

Reorder the terms:
6.25 + 5x + x2 = -9 + 6.25

Combine like terms: -9 + 6.25 = -2.75
6.25 + 5x + x2 = -2.75

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = -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.

The solution to this equation could not be determined.

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