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Simplifying
11z2 + 7 = 106
Reorder the terms:
7 + 11z2 = 106
Solving
7 + 11z2 = 106
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 11z2 = 106 + -7
Combine like terms: 7 + -7 = 0
0 + 11z2 = 106 + -7
11z2 = 106 + -7
Combine like terms: 106 + -7 = 99
11z2 = 99
Divide each side by '11'.
z2 = 9
Simplifying
z2 = 9
Take the square root of each side:
z = {-3, 3}
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