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Simplifying
4z2 + -3 = 23
Reorder the terms:
-3 + 4z2 = 23
Solving
-3 + 4z2 = 23
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 + 4z2 = 23 + 3
Combine like terms: -3 + 3 = 0
0 + 4z2 = 23 + 3
4z2 = 23 + 3
Combine like terms: 23 + 3 = 26
4z2 = 26
Divide each side by '4'.
z2 = 6.5
Simplifying
z2 = 6.5
Take the square root of each side:
z = {-2.549509757, 2.549509757}
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