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Simplifying
(5 + -3z)(5 + 3z) = 0
Multiply (5 + -3z) * (5 + 3z)
(5(5 + 3z) + -3z * (5 + 3z)) = 0
((5 * 5 + 3z * 5) + -3z * (5 + 3z)) = 0
((25 + 15z) + -3z * (5 + 3z)) = 0
(25 + 15z + (5 * -3z + 3z * -3z)) = 0
(25 + 15z + (-15z + -9z2)) = 0
Combine like terms: 15z + -15z = 0
(25 + 0 + -9z2) = 0
(25 + -9z2) = 0
Solving
25 + -9z2 = 0
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-25' to each side of the equation.
25 + -25 + -9z2 = 0 + -25
Combine like terms: 25 + -25 = 0
0 + -9z2 = 0 + -25
-9z2 = 0 + -25
Combine like terms: 0 + -25 = -25
-9z2 = -25
Divide each side by '-9'.
z2 = 2.777777778
Simplifying
z2 = 2.777777778
Take the square root of each side:
z = {-1.666666667, 1.666666667}
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