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Simplifying
2x2 + -1 = x2 + 7
Reorder the terms:
-1 + 2x2 = x2 + 7
Reorder the terms:
-1 + 2x2 = 7 + x2
Solving
-1 + 2x2 = 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 + 2x2 + -1x2 = 7 + x2 + -1x2
Combine like terms: 2x2 + -1x2 = 1x2
-1 + 1x2 = 7 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-1 + 1x2 = 7 + 0
-1 + 1x2 = 7
Add '1' to each side of the equation.
-1 + 1 + 1x2 = 7 + 1
Combine like terms: -1 + 1 = 0
0 + 1x2 = 7 + 1
1x2 = 7 + 1
Combine like terms: 7 + 1 = 8
1x2 = 8
Divide each side by '1'.
x2 = 8
Simplifying
x2 = 8
Take the square root of each side:
x = {-2.828427125, 2.828427125}
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