(7x^2-4x^2y^3+5x^3)+(-6x^2y^3+3x^3)=

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Solution for (7x^2-4x^2y^3+5x^3)+(-6x^2y^3+3x^3)= equation: 


Simplifying
(7x2 + -4x2y3 + 5x3) + (-6x2y3 + 3x3) = 0

Remove parenthesis around (7x2 + -4x2y3 + 5x3)
7x2 + -4x2y3 + 5x3 + (-6x2y3 + 3x3) = 0

Remove parenthesis around (-6x2y3 + 3x3)
7x2 + -4x2y3 + 5x3 + -6x2y3 + 3x3 = 0

Reorder the terms:
7x2 + -4x2y3 + -6x2y3 + 5x3 + 3x3 = 0

Combine like terms: -4x2y3 + -6x2y3 = -10x2y3
7x2 + -10x2y3 + 5x3 + 3x3 = 0

Combine like terms: 5x3 + 3x3 = 8x3
7x2 + -10x2y3 + 8x3 = 0

Solving
7x2 + -10x2y3 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(7 + -10y3 + 8x) = 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 '(7 + -10y3 + 8x)' equal to zero and attempt to solve:

Simplifying
7 + -10y3 + 8x = 0

Reorder the terms:
7 + 8x + -10y3 = 0

Solving
7 + 8x + -10y3 = 0

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

Add '-7' to each side of the equation.
7 + 8x + -7 + -10y3 = 0 + -7

Reorder the terms:
7 + -7 + 8x + -10y3 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 8x + -10y3 = 0 + -7
8x + -10y3 = 0 + -7

Combine like terms: 0 + -7 = -7
8x + -10y3 = -7

Add '10y3' to each side of the equation.
8x + -10y3 + 10y3 = -7 + 10y3

Combine like terms: -10y3 + 10y3 = 0
8x + 0 = -7 + 10y3
8x = -7 + 10y3

Divide each side by '8'.
x = -0.875 + 1.25y3

Simplifying
x = -0.875 + 1.25y3
Solution
x = {0, -0.875 + 1.25y3}

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