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Simplifying
3x2 + 1 = x2 + 7
Reorder the terms:
1 + 3x2 = x2 + 7
Reorder the terms:
1 + 3x2 = 7 + x2
Solving
1 + 3x2 = 7 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
1 + 3x2 + -1x2 = 7 + x2 + -1x2
Combine like terms: 3x2 + -1x2 = 2x2
1 + 2x2 = 7 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
1 + 2x2 = 7 + 0
1 + 2x2 = 7
Add '-1' to each side of the equation.
1 + -1 + 2x2 = 7 + -1
Combine like terms: 1 + -1 = 0
0 + 2x2 = 7 + -1
2x2 = 7 + -1
Combine like terms: 7 + -1 = 6
2x2 = 6
Divide each side by '2'.
x2 = 3
Simplifying
x2 = 3
Take the square root of each side:
x = {-1.732050808, 1.732050808}
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