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Simplifying
8x2 + -8 = x2 + 41
Reorder the terms:
-8 + 8x2 = x2 + 41
Reorder the terms:
-8 + 8x2 = 41 + x2
Solving
-8 + 8x2 = 41 + 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.
-8 + 8x2 + -1x2 = 41 + x2 + -1x2
Combine like terms: 8x2 + -1x2 = 7x2
-8 + 7x2 = 41 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-8 + 7x2 = 41 + 0
-8 + 7x2 = 41
Add '8' to each side of the equation.
-8 + 8 + 7x2 = 41 + 8
Combine like terms: -8 + 8 = 0
0 + 7x2 = 41 + 8
7x2 = 41 + 8
Combine like terms: 41 + 8 = 49
7x2 = 49
Divide each side by '7'.
x2 = 7
Simplifying
x2 = 7
Take the square root of each side:
x = {-2.645751311, 2.645751311}
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