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Simplifying
(2a + -5)(2a + 5) = 0
Reorder the terms:
(-5 + 2a)(2a + 5) = 0
Reorder the terms:
(-5 + 2a)(5 + 2a) = 0
Multiply (-5 + 2a) * (5 + 2a)
(-5(5 + 2a) + 2a * (5 + 2a)) = 0
((5 * -5 + 2a * -5) + 2a * (5 + 2a)) = 0
((-25 + -10a) + 2a * (5 + 2a)) = 0
(-25 + -10a + (5 * 2a + 2a * 2a)) = 0
(-25 + -10a + (10a + 4a2)) = 0
Combine like terms: -10a + 10a = 0
(-25 + 0 + 4a2) = 0
(-25 + 4a2) = 0
Solving
-25 + 4a2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '25' to each side of the equation.
-25 + 25 + 4a2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 4a2 = 0 + 25
4a2 = 0 + 25
Combine like terms: 0 + 25 = 25
4a2 = 25
Divide each side by '4'.
a2 = 6.25
Simplifying
a2 = 6.25
Take the square root of each side:
a = {-2.5, 2.5}
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