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Simplifying
(7 + -5z)(7 + 5z) = 0
Multiply (7 + -5z) * (7 + 5z)
(7(7 + 5z) + -5z * (7 + 5z)) = 0
((7 * 7 + 5z * 7) + -5z * (7 + 5z)) = 0
((49 + 35z) + -5z * (7 + 5z)) = 0
(49 + 35z + (7 * -5z + 5z * -5z)) = 0
(49 + 35z + (-35z + -25z2)) = 0
Combine like terms: 35z + -35z = 0
(49 + 0 + -25z2) = 0
(49 + -25z2) = 0
Solving
49 + -25z2 = 0
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-49' to each side of the equation.
49 + -49 + -25z2 = 0 + -49
Combine like terms: 49 + -49 = 0
0 + -25z2 = 0 + -49
-25z2 = 0 + -49
Combine like terms: 0 + -49 = -49
-25z2 = -49
Divide each side by '-25'.
z2 = 1.96
Simplifying
z2 = 1.96
Take the square root of each side:
z = {-1.4, 1.4}
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