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Simplifying
4z2 + 5 = 985
Reorder the terms:
5 + 4z2 = 985
Solving
5 + 4z2 = 985
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 4z2 = 985 + -5
Combine like terms: 5 + -5 = 0
0 + 4z2 = 985 + -5
4z2 = 985 + -5
Combine like terms: 985 + -5 = 980
4z2 = 980
Divide each side by '4'.
z2 = 245
Simplifying
z2 = 245
Take the square root of each side:
z = {-15.652475842, 15.652475842}
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