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Simplifying
0 = (3a + 11)(3a + -11)
Reorder the terms:
0 = (11 + 3a)(3a + -11)
Reorder the terms:
0 = (11 + 3a)(-11 + 3a)
Multiply (11 + 3a) * (-11 + 3a)
0 = (11(-11 + 3a) + 3a * (-11 + 3a))
0 = ((-11 * 11 + 3a * 11) + 3a * (-11 + 3a))
0 = ((-121 + 33a) + 3a * (-11 + 3a))
0 = (-121 + 33a + (-11 * 3a + 3a * 3a))
0 = (-121 + 33a + (-33a + 9a2))
Combine like terms: 33a + -33a = 0
0 = (-121 + 0 + 9a2)
0 = (-121 + 9a2)
Solving
0 = -121 + 9a2
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-9a2' to each side of the equation.
0 + -9a2 = -121 + 9a2 + -9a2
Remove the zero:
-9a2 = -121 + 9a2 + -9a2
Combine like terms: 9a2 + -9a2 = 0
-9a2 = -121 + 0
-9a2 = -121
Divide each side by '-9'.
a2 = 13.44444444
Simplifying
a2 = 13.44444444
Take the square root of each side:
a = {-3.666666666, 3.666666666}
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