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Simplifying
2x2 + 16 = x2 + 17
Reorder the terms:
16 + 2x2 = x2 + 17
Reorder the terms:
16 + 2x2 = 17 + x2
Solving
16 + 2x2 = 17 + 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.
16 + 2x2 + -1x2 = 17 + x2 + -1x2
Combine like terms: 2x2 + -1x2 = 1x2
16 + 1x2 = 17 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
16 + 1x2 = 17 + 0
16 + 1x2 = 17
Add '-16' to each side of the equation.
16 + -16 + 1x2 = 17 + -16
Combine like terms: 16 + -16 = 0
0 + 1x2 = 17 + -16
1x2 = 17 + -16
Combine like terms: 17 + -16 = 1
1x2 = 1
Divide each side by '1'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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