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Simplifying
3x2 + 10 = x2 + 24
Reorder the terms:
10 + 3x2 = x2 + 24
Reorder the terms:
10 + 3x2 = 24 + x2
Solving
10 + 3x2 = 24 + 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.
10 + 3x2 + -1x2 = 24 + x2 + -1x2
Combine like terms: 3x2 + -1x2 = 2x2
10 + 2x2 = 24 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
10 + 2x2 = 24 + 0
10 + 2x2 = 24
Add '-10' to each side of the equation.
10 + -10 + 2x2 = 24 + -10
Combine like terms: 10 + -10 = 0
0 + 2x2 = 24 + -10
2x2 = 24 + -10
Combine like terms: 24 + -10 = 14
2x2 = 14
Divide each side by '2'.
x2 = 7
Simplifying
x2 = 7
Take the square root of each side:
x = {-2.645751311, 2.645751311}
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