2x^2+3x=(3x-1)-x^2

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Solution for 2x^2+3x=(3x-1)-x^2 equation:


Simplifying
2x2 + 3x = (3x + -1) + -1x2

Reorder the terms:
3x + 2x2 = (3x + -1) + -1x2

Reorder the terms:
3x + 2x2 = (-1 + 3x) + -1x2

Remove parenthesis around (-1 + 3x)
3x + 2x2 = -1 + 3x + -1x2

Add '-3x' to each side of the equation.
3x + -3x + 2x2 = -1 + 3x + -3x + -1x2

Combine like terms: 3x + -3x = 0
0 + 2x2 = -1 + 3x + -3x + -1x2
2x2 = -1 + 3x + -3x + -1x2

Combine like terms: 3x + -3x = 0
2x2 = -1 + 0 + -1x2
2x2 = -1 + -1x2

Solving
2x2 = -1 + -1x2

Solving for variable 'x'.

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

Add 'x2' to each side of the equation.
2x2 + x2 = -1 + -1x2 + x2

Combine like terms: 2x2 + x2 = 3x2
3x2 = -1 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
3x2 = -1 + 0
3x2 = -1

Divide each side by '3'.
x2 = -0.3333333333

Simplifying
x2 = -0.3333333333

Reorder the terms:
0.3333333333 + x2 = -0.3333333333 + 0.3333333333

Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000
0.3333333333 + x2 = 0.0000000000

The solution to this equation could not be determined.

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