2x^2-4=-x^2+6

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Solution for 2x^2-4=-x^2+6 equation:


Simplifying
2x2 + -4 = -1x2 + 6

Reorder the terms:
-4 + 2x2 = -1x2 + 6

Reorder the terms:
-4 + 2x2 = 6 + -1x2

Solving
-4 + 2x2 = 6 + -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.
-4 + 2x2 + x2 = 6 + -1x2 + x2

Combine like terms: 2x2 + x2 = 3x2
-4 + 3x2 = 6 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-4 + 3x2 = 6 + 0
-4 + 3x2 = 6

Add '4' to each side of the equation.
-4 + 4 + 3x2 = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 3x2 = 6 + 4
3x2 = 6 + 4

Combine like terms: 6 + 4 = 10
3x2 = 10

Divide each side by '3'.
x2 = 3.333333333

Simplifying
x2 = 3.333333333

Take the square root of each side:
x = {-1.825741858, 1.825741858}

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