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Simplifying
10z(4z + 5z) = 0
Combine like terms: 4z + 5z = 9z
10z(9z) = 0
Remove parenthesis around (9z)
10z * 9z = 0
Reorder the terms for easier multiplication:
10 * 9z * z = 0
Multiply 10 * 9
90z * z = 0
Multiply z * z
90z2 = 0
Solving
90z2 = 0
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Divide each side by '90'.
z2 = 0.0
Simplifying
z2 = 0.0
Take the square root of each side:
z = {0.0}
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