25x^4+8x^3+9x^2=

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Solution for 25x^4+8x^3+9x^2= equation: 


Simplifying
25x4 + 8x3 + 9x2 = 0

Reorder the terms:
9x2 + 8x3 + 25x4 = 0

Solving
9x2 + 8x3 + 25x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(9 + 8x + 25x2) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(9 + 8x + 25x2)' equal to zero and attempt to solve:

Simplifying
9 + 8x + 25x2 = 0

Solving
9 + 8x + 25x2 = 0

Begin completing the square.  Divide all terms by
25 the coefficient of the squared term: 

Divide each side by '25'.
0.36 + 0.32x + x2 = 0

Move the constant term to the right:

Add '-0.36' to each side of the equation.
0.36 + 0.32x + -0.36 + x2 = 0 + -0.36

Reorder the terms:
0.36 + -0.36 + 0.32x + x2 = 0 + -0.36

Combine like terms: 0.36 + -0.36 = 0.00
0.00 + 0.32x + x2 = 0 + -0.36
0.32x + x2 = 0 + -0.36

Combine like terms: 0 + -0.36 = -0.36
0.32x + x2 = -0.36

The x term is 0.32x.  Take half its coefficient (0.16).
Square it (0.0256) and add it to both sides.

Add '0.0256' to each side of the equation.
0.32x + 0.0256 + x2 = -0.36 + 0.0256

Reorder the terms:
0.0256 + 0.32x + x2 = -0.36 + 0.0256

Combine like terms: -0.36 + 0.0256 = -0.3344
0.0256 + 0.32x + x2 = -0.3344

Factor a perfect square on the left side:
(x + 0.16)(x + 0.16) = -0.3344

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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