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Simplifying
(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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