6x+45-6x=x^2+9

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Solution for 6x+45-6x=x^2+9 equation: 


Simplifying
6x + 45 + -6x = x2 + 9

Reorder the terms:
45 + 6x + -6x = x2 + 9

Combine like terms: 6x + -6x = 0
45 + 0 = x2 + 9
45 = x2 + 9

Reorder the terms:
45 = 9 + x2

Solving
45 = 9 + 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.
45 + -1x2 = 9 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
45 + -1x2 = 9 + 0
45 + -1x2 = 9

Add '-45' to each side of the equation.
45 + -45 + -1x2 = 9 + -45

Combine like terms: 45 + -45 = 0
0 + -1x2 = 9 + -45
-1x2 = 9 + -45

Combine like terms: 9 + -45 = -36
-1x2 = -36

Divide each side by '-1'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}

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