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Simplifying
6x2 + -54 + 30 = 0
Reorder the terms:
-54 + 30 + 6x2 = 0
Combine like terms: -54 + 30 = -24
-24 + 6x2 = 0
Solving
-24 + 6x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '24' to each side of the equation.
-24 + 24 + 6x2 = 0 + 24
Combine like terms: -24 + 24 = 0
0 + 6x2 = 0 + 24
6x2 = 0 + 24
Combine like terms: 0 + 24 = 24
6x2 = 24
Divide each side by '6'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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