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Simplifying
x2 + 10 = 2x2 + 1
Reorder the terms:
10 + x2 = 2x2 + 1
Reorder the terms:
10 + x2 = 1 + 2x2
Solving
10 + x2 = 1 + 2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x2' to each side of the equation.
10 + x2 + -2x2 = 1 + 2x2 + -2x2
Combine like terms: x2 + -2x2 = -1x2
10 + -1x2 = 1 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
10 + -1x2 = 1 + 0
10 + -1x2 = 1
Add '-10' to each side of the equation.
10 + -10 + -1x2 = 1 + -10
Combine like terms: 10 + -10 = 0
0 + -1x2 = 1 + -10
-1x2 = 1 + -10
Combine like terms: 1 + -10 = -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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