3x^2+5=-x^2+1

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Solution for 3x^2+5=-x^2+1 equation:


Simplifying
3x2 + 5 = -1x2 + 1

Reorder the terms:
5 + 3x2 = -1x2 + 1

Reorder the terms:
5 + 3x2 = 1 + -1x2

Solving
5 + 3x2 = 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.
5 + 3x2 + x2 = 1 + -1x2 + x2

Combine like terms: 3x2 + x2 = 4x2
5 + 4x2 = 1 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
5 + 4x2 = 1 + 0
5 + 4x2 = 1

Add '-5' to each side of the equation.
5 + -5 + 4x2 = 1 + -5

Combine like terms: 5 + -5 = 0
0 + 4x2 = 1 + -5
4x2 = 1 + -5

Combine like terms: 1 + -5 = -4
4x2 = -4

Divide each side by '4'.
x2 = -1

Simplifying
x2 = -1

Reorder the terms:
1 + x2 = -1 + 1

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

The solution to this equation could not be determined.

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