x^2-6=45

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Solution for x^2-6=45 equation: 


Simplifying
x2 + -6 = 45

Reorder the terms:
-6 + x2 = 45

Solving
-6 + x2 = 45

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + x2 = 45 + 6

Combine like terms: -6 + 6 = 0
0 + x2 = 45 + 6
x2 = 45 + 6

Combine like terms: 45 + 6 = 51
x2 = 51

Simplifying
x2 = 51

Take the square root of each side:
x = {-7.141428429, 7.141428429}

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