56x^2+21x^4+63x^3=

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Solution for 56x^2+21x^4+63x^3= equation: 


Simplifying
56x2 + 21x4 + 63x3 = 0

Reorder the terms:
56x2 + 63x3 + 21x4 = 0

Solving
56x2 + 63x3 + 21x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x2'.
7x2(8 + 9x + 3x2) = 0

Ignore the factor 7.

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 '(8 + 9x + 3x2)' equal to zero and attempt to solve:

Simplifying
8 + 9x + 3x2 = 0

Solving
8 + 9x + 3x2 = 0

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

Divide each side by '3'.
2.666666667 + 3x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + 3x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + 3x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + 3x + x2 = 0 + -2.666666667
3x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
3x + x2 = -2.666666667

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 = -2.666666667 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -2.666666667 + 2.25

Combine like terms: -2.666666667 + 2.25 = -0.416666667
2.25 + 3x + x2 = -0.416666667

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -0.416666667

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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