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Simplifying
(5a + 7)(5a + -7) = 0
Reorder the terms:
(7 + 5a)(5a + -7) = 0
Reorder the terms:
(7 + 5a)(-7 + 5a) = 0
Multiply (7 + 5a) * (-7 + 5a)
(7(-7 + 5a) + 5a * (-7 + 5a)) = 0
((-7 * 7 + 5a * 7) + 5a * (-7 + 5a)) = 0
((-49 + 35a) + 5a * (-7 + 5a)) = 0
(-49 + 35a + (-7 * 5a + 5a * 5a)) = 0
(-49 + 35a + (-35a + 25a2)) = 0
Combine like terms: 35a + -35a = 0
(-49 + 0 + 25a2) = 0
(-49 + 25a2) = 0
Solving
-49 + 25a2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 25a2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 25a2 = 0 + 49
25a2 = 0 + 49
Combine like terms: 0 + 49 = 49
25a2 = 49
Divide each side by '25'.
a2 = 1.96
Simplifying
a2 = 1.96
Take the square root of each side:
a = {-1.4, 1.4}
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