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Simplifying
(3) * 18 = (2x) * 3x
Multiply 3 * 18
54 = (2x) * 3x
Remove parenthesis around (2x)
54 = 2x * 3x
Reorder the terms for easier multiplication:
54 = 2 * 3x * x
Multiply 2 * 3
54 = 6x * x
Multiply x * x
54 = 6x2
Solving
54 = 6x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x2' to each side of the equation.
54 + -6x2 = 6x2 + -6x2
Combine like terms: 6x2 + -6x2 = 0
54 + -6x2 = 0
Add '-54' to each side of the equation.
54 + -54 + -6x2 = 0 + -54
Combine like terms: 54 + -54 = 0
0 + -6x2 = 0 + -54
-6x2 = 0 + -54
Combine like terms: 0 + -54 = -54
-6x2 = -54
Divide each side by '-6'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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