3x=x^2+3x-18

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Solution for 3x=x^2+3x-18 equation:


Simplifying
3x = x2 + 3x + -18

Reorder the terms:
3x = -18 + 3x + x2

Add '-3x' to each side of the equation.
3x + -3x = -18 + 3x + -3x + x2

Combine like terms: 3x + -3x = 0
0 = -18 + 3x + -3x + x2

Combine like terms: 3x + -3x = 0
0 = -18 + 0 + x2
0 = -18 + x2

Solving
0 = -18 + 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.
0 + -1x2 = -18 + x2 + -1x2
Remove the zero:
-1x2 = -18 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1x2 = -18 + 0
-1x2 = -18

Divide each side by '-1'.
x2 = 18

Simplifying
x2 = 18

Take the square root of each side:
x = {-4.242640687, 4.242640687}

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