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Simplifying
8z2 = 6z2 + 38
Reorder the terms:
8z2 = 38 + 6z2
Solving
8z2 = 38 + 6z2
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-6z2' to each side of the equation.
8z2 + -6z2 = 38 + 6z2 + -6z2
Combine like terms: 8z2 + -6z2 = 2z2
2z2 = 38 + 6z2 + -6z2
Combine like terms: 6z2 + -6z2 = 0
2z2 = 38 + 0
2z2 = 38
Divide each side by '2'.
z2 = 19
Simplifying
z2 = 19
Take the square root of each side:
z = {-4.358898944, 4.358898944}
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