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Simplifying
6x2 + 48 + -54 = 0
Reorder the terms:
48 + -54 + 6x2 = 0
Combine like terms: 48 + -54 = -6
-6 + 6x2 = 0
Solving
-6 + 6x2 = 0
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 + 6x2 = 0 + 6
Combine like terms: -6 + 6 = 0
0 + 6x2 = 0 + 6
6x2 = 0 + 6
Combine like terms: 0 + 6 = 6
6x2 = 6
Divide each side by '6'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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