(17x^2-5x+3)-(2X^3+2x^2+3)=0

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Solution for (17x^2-5x+3)-(2X^3+2x^2+3)=0 equation:


Simplifying
(17x2 + -5x + 3) + -1(2X3 + 2x2 + 3) = 0

Reorder the terms:
(3 + -5x + 17x2) + -1(2X3 + 2x2 + 3) = 0

Remove parenthesis around (3 + -5x + 17x2)
3 + -5x + 17x2 + -1(2X3 + 2x2 + 3) = 0

Reorder the terms:
3 + -5x + 17x2 + -1(3 + 2X3 + 2x2) = 0
3 + -5x + 17x2 + (3 * -1 + 2X3 * -1 + 2x2 * -1) = 0
3 + -5x + 17x2 + (-3 + -2X3 + -2x2) = 0

Reorder the terms:
3 + -3 + -2X3 + -5x + 17x2 + -2x2 = 0

Combine like terms: 3 + -3 = 0
0 + -2X3 + -5x + 17x2 + -2x2 = 0
-2X3 + -5x + 17x2 + -2x2 = 0

Combine like terms: 17x2 + -2x2 = 15x2
-2X3 + -5x + 15x2 = 0

Solving
-2X3 + -5x + 15x2 = 0

Solving for variable 'X'.

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

Add '5x' to each side of the equation.
-2X3 + -5x + 5x + 15x2 = 0 + 5x

Combine like terms: -5x + 5x = 0
-2X3 + 0 + 15x2 = 0 + 5x
-2X3 + 15x2 = 0 + 5x
Remove the zero:
-2X3 + 15x2 = 5x

Add '-15x2' to each side of the equation.
-2X3 + 15x2 + -15x2 = 5x + -15x2

Combine like terms: 15x2 + -15x2 = 0
-2X3 + 0 = 5x + -15x2
-2X3 = 5x + -15x2

Divide each side by '-2'.
X3 = -2.5x + 7.5x2

Simplifying
X3 = -2.5x + 7.5x2

Reorder the terms:
X3 + 2.5x + -7.5x2 = -2.5x + 2.5x + 7.5x2 + -7.5x2

Combine like terms: -2.5x + 2.5x = 0.0
X3 + 2.5x + -7.5x2 = 0.0 + 7.5x2 + -7.5x2
X3 + 2.5x + -7.5x2 = 7.5x2 + -7.5x2

Combine like terms: 7.5x2 + -7.5x2 = 0.0
X3 + 2.5x + -7.5x2 = 0.0

The solution to this equation could not be determined.

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