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Simplifying
3x2 + 14 = x2 + 29
Reorder the terms:
14 + 3x2 = x2 + 29
Reorder the terms:
14 + 3x2 = 29 + x2
Solving
14 + 3x2 = 29 + 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.
14 + 3x2 + -1x2 = 29 + x2 + -1x2
Combine like terms: 3x2 + -1x2 = 2x2
14 + 2x2 = 29 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
14 + 2x2 = 29 + 0
14 + 2x2 = 29
Add '-14' to each side of the equation.
14 + -14 + 2x2 = 29 + -14
Combine like terms: 14 + -14 = 0
0 + 2x2 = 29 + -14
2x2 = 29 + -14
Combine like terms: 29 + -14 = 15
2x2 = 15
Divide each side by '2'.
x2 = 7.5
Simplifying
x2 = 7.5
Take the square root of each side:
x = {-2.738612788, 2.738612788}
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