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Simplifying
2(x2 + -1) = x2 + 7
Reorder the terms:
2(-1 + x2) = x2 + 7
(-1 * 2 + x2 * 2) = x2 + 7
(-2 + 2x2) = x2 + 7
Reorder the terms:
-2 + 2x2 = 7 + x2
Solving
-2 + 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.
-2 + 2x2 + -1x2 = 7 + x2 + -1x2
Combine like terms: 2x2 + -1x2 = 1x2
-2 + 1x2 = 7 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-2 + 1x2 = 7 + 0
-2 + 1x2 = 7
Add '2' to each side of the equation.
-2 + 2 + 1x2 = 7 + 2
Combine like terms: -2 + 2 = 0
0 + 1x2 = 7 + 2
1x2 = 7 + 2
Combine like terms: 7 + 2 = 9
1x2 = 9
Divide each side by '1'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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