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Simplifying
2x + 17 = x2 + 2x + 1
Reorder the terms:
17 + 2x = x2 + 2x + 1
Reorder the terms:
17 + 2x = 1 + 2x + x2
Add '-2x' to each side of the equation.
17 + 2x + -2x = 1 + 2x + -2x + x2
Combine like terms: 2x + -2x = 0
17 + 0 = 1 + 2x + -2x + x2
17 = 1 + 2x + -2x + x2
Combine like terms: 2x + -2x = 0
17 = 1 + 0 + x2
17 = 1 + x2
Solving
17 = 1 + 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.
17 + -1x2 = 1 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
17 + -1x2 = 1 + 0
17 + -1x2 = 1
Add '-17' to each side of the equation.
17 + -17 + -1x2 = 1 + -17
Combine like terms: 17 + -17 = 0
0 + -1x2 = 1 + -17
-1x2 = 1 + -17
Combine like terms: 1 + -17 = -16
-1x2 = -16
Divide each side by '-1'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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