5z^2+3=48

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Solution for 5z^2+3=48 equation: 


Simplifying
5z2 + 3 = 48

Reorder the terms:
3 + 5z2 = 48

Solving
3 + 5z2 = 48

Solving for variable 'z'.

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

Add '-3' to each side of the equation.
3 + -3 + 5z2 = 48 + -3

Combine like terms: 3 + -3 = 0
0 + 5z2 = 48 + -3
5z2 = 48 + -3

Combine like terms: 48 + -3 = 45
5z2 = 45

Divide each side by '5'.
z2 = 9

Simplifying
z2 = 9

Take the square root of each side:
z = {-3, 3}

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