25z^2+97=100

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Solution for 25z^2+97=100 equation:


Simplifying
25z2 + 97 = 100

Reorder the terms:
97 + 25z2 = 100

Solving
97 + 25z2 = 100

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-97' to each side of the equation.
97 + -97 + 25z2 = 100 + -97

Combine like terms: 97 + -97 = 0
0 + 25z2 = 100 + -97
25z2 = 100 + -97

Combine like terms: 100 + -97 = 3
25z2 = 3

Divide each side by '25'.
z2 = 0.12

Simplifying
z2 = 0.12

Take the square root of each side:
z = {-0.346410162, 0.346410162}

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