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Simplifying
4z2 + 5 = 167
Reorder the terms:
5 + 4z2 = 167
Solving
5 + 4z2 = 167
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 = 167 + -5
Combine like terms: 5 + -5 = 0
0 + 4z2 = 167 + -5
4z2 = 167 + -5
Combine like terms: 167 + -5 = 162
4z2 = 162
Divide each side by '4'.
z2 = 40.5
Simplifying
z2 = 40.5
Take the square root of each side:
z = {-6.363961031, 6.363961031}
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