20x^5+10x^4+15x^3=

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Solution for 20x^5+10x^4+15x^3= equation: 


Simplifying
20x5 + 10x4 + 15x3 = 0

Reorder the terms:
15x3 + 10x4 + 20x5 = 0

Solving
15x3 + 10x4 + 20x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x3'.
5x3(3 + 2x + 4x2) = 0

Ignore the factor 5.

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 '(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.

The solution to this equation could not be determined.

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