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Simplifying
10z2 + -10 = 470
Reorder the terms:
-10 + 10z2 = 470
Solving
-10 + 10z2 = 470
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 10z2 = 470 + 10
Combine like terms: -10 + 10 = 0
0 + 10z2 = 470 + 10
10z2 = 470 + 10
Combine like terms: 470 + 10 = 480
10z2 = 480
Divide each side by '10'.
z2 = 48
Simplifying
z2 = 48
Take the square root of each side:
z = {-6.92820323, 6.92820323}
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