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Simplifying
6(x2 + 11) = 228
Reorder the terms:
6(11 + x2) = 228
(11 * 6 + x2 * 6) = 228
(66 + 6x2) = 228
Solving
66 + 6x2 = 228
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-66' to each side of the equation.
66 + -66 + 6x2 = 228 + -66
Combine like terms: 66 + -66 = 0
0 + 6x2 = 228 + -66
6x2 = 228 + -66
Combine like terms: 228 + -66 = 162
6x2 = 162
Divide each side by '6'.
x2 = 27
Simplifying
x2 = 27
Take the square root of each side:
x = {-5.196152423, 5.196152423}
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