2z^2+5=205

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Solution for 2z^2+5=205 equation:


Simplifying
2z2 + 5 = 205

Reorder the terms:
5 + 2z2 = 205

Solving
5 + 2z2 = 205

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 + 2z2 = 205 + -5

Combine like terms: 5 + -5 = 0
0 + 2z2 = 205 + -5
2z2 = 205 + -5

Combine like terms: 205 + -5 = 200
2z2 = 200

Divide each side by '2'.
z2 = 100

Simplifying
z2 = 100

Take the square root of each side:
z = {-10, 10}

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