3x^2-20*3+33=0

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Solution for 3x^2-20*3+33=0 equation:


Simplifying
3x2 + -20 * 3 + 33 = 0

Multiply -20 * 3
3x2 + -60 + 33 = 0

Reorder the terms:
-60 + 33 + 3x2 = 0

Combine like terms: -60 + 33 = -27
-27 + 3x2 = 0

Solving
-27 + 3x2 = 0

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 3x2 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 3x2 = 0 + 27
3x2 = 0 + 27

Combine like terms: 0 + 27 = 27
3x2 = 27

Divide each side by '3'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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