(x^3-4x^2+10)+(5x^3+4x^2-8)=0

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Solution for (x^3-4x^2+10)+(5x^3+4x^2-8)=0 equation:


Simplifying
(x3 + -4x2 + 10) + (5x3 + 4x2 + -8) = 0

Reorder the terms:
(10 + -4x2 + x3) + (5x3 + 4x2 + -8) = 0

Remove parenthesis around (10 + -4x2 + x3)
10 + -4x2 + x3 + (5x3 + 4x2 + -8) = 0

Reorder the terms:
10 + -4x2 + x3 + (-8 + 4x2 + 5x3) = 0

Remove parenthesis around (-8 + 4x2 + 5x3)
10 + -4x2 + x3 + -8 + 4x2 + 5x3 = 0

Reorder the terms:
10 + -8 + -4x2 + 4x2 + x3 + 5x3 = 0

Combine like terms: 10 + -8 = 2
2 + -4x2 + 4x2 + x3 + 5x3 = 0

Combine like terms: -4x2 + 4x2 = 0
2 + 0 + x3 + 5x3 = 0
2 + x3 + 5x3 = 0

Combine like terms: x3 + 5x3 = 6x3
2 + 6x3 = 0

Solving
2 + 6x3 = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 6x3 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 6x3 = 0 + -2
6x3 = 0 + -2

Combine like terms: 0 + -2 = -2
6x3 = -2

Divide each side by '6'.
x3 = -0.3333333333

Simplifying
x3 = -0.3333333333

Reorder the terms:
0.3333333333 + x3 = -0.3333333333 + 0.3333333333

Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000
0.3333333333 + x3 = 0.0000000000

The solution to this equation could not be determined.

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