(4x^2+7x^3y^2)-(-6x^2-7x^3y^2-4x)-(10x+9x^2)=0

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Solution for (4x^2+7x^3y^2)-(-6x^2-7x^3y^2-4x)-(10x+9x^2)=0 equation: 


Simplifying
(4x2 + 7x3y2) + -1(-6x2 + -7x3y2 + -4x) + -1(10x + 9x2) = 0

Remove parenthesis around (4x2 + 7x3y2)
4x2 + 7x3y2 + -1(-6x2 + -7x3y2 + -4x) + -1(10x + 9x2) = 0

Reorder the terms:
4x2 + 7x3y2 + -1(-4x + -6x2 + -7x3y2) + -1(10x + 9x2) = 0
4x2 + 7x3y2 + (-4x * -1 + -6x2 * -1 + -7x3y2 * -1) + -1(10x + 9x2) = 0
4x2 + 7x3y2 + (4x + 6x2 + 7x3y2) + -1(10x + 9x2) = 0
4x2 + 7x3y2 + 4x + 6x2 + 7x3y2 + (10x * -1 + 9x2 * -1) = 0
4x2 + 7x3y2 + 4x + 6x2 + 7x3y2 + (-10x + -9x2) = 0

Reorder the terms:
4x + -10x + 4x2 + 6x2 + -9x2 + 7x3y2 + 7x3y2 = 0

Combine like terms: 4x + -10x = -6x
-6x + 4x2 + 6x2 + -9x2 + 7x3y2 + 7x3y2 = 0

Combine like terms: 4x2 + 6x2 = 10x2
-6x + 10x2 + -9x2 + 7x3y2 + 7x3y2 = 0

Combine like terms: 10x2 + -9x2 = 1x2
-6x + 1x2 + 7x3y2 + 7x3y2 = 0

Combine like terms: 7x3y2 + 7x3y2 = 14x3y2
-6x + 1x2 + 14x3y2 = 0

Solving
-6x + 1x2 + 14x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + x + 14x2y2) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-6 + x + 14x2y2)' equal to zero and attempt to solve:

Simplifying
-6 + x + 14x2y2 = 0

Solving
-6 + x + 14x2y2 = 0

Begin completing the square.  Divide all terms by
14y2 the coefficient of the squared term: 

Divide each side by '14y2'.
-0.4285714286y-2 + 0.07142857143xy-2 + x2 = 0y-2

Move the constant term to the right:

Add '0.4285714286' to each side of the equation.
-0.4285714286y-2 + 0.07142857143xy-2 + 0.4285714286 + x2 = 0.4285714286 + 0y-2

Reorder the terms:
0.4285714286 + 0.07142857143xy-2 + x2 + -0.4285714286y-2 = 0.4285714286 + 0y-2

Combine like terms: 0.4285714286 + 0 = 0.4285714286
0.4285714286 + 0.07142857143xy-2 + x2 + -0.4285714286y-2 = 0.4285714286

The x term is xy-2.  Take half its coefficient (0.5y-2).
Square it (0.25y-4) and add it to both sides.

Add '0.25y-4' to each side of the equation.
0.4285714286 + 0.07142857143xy-2 + x2 + 0.25y-4 + -0.4285714286y-2 = 0.4285714286 + 0.25y-4

Factor a perfect square on the left side:
(x + 0.5y-2)(x + 0.5y-2) = 0.4285714286 + 0.25y-4

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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