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Simplifying
(5z + 7)(5z + -7) = 0
Reorder the terms:
(7 + 5z)(5z + -7) = 0
Reorder the terms:
(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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