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Simplifying
49a2 + -25 = 0
Reorder the terms:
-25 + 49a2 = 0
Solving
-25 + 49a2 = 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 + 49a2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 49a2 = 0 + 25
49a2 = 0 + 25
Combine like terms: 0 + 25 = 25
49a2 = 25
Divide each side by '49'.
a2 = 0.5102040816
Simplifying
a2 = 0.5102040816
Take the square root of each side:
a = {-0.714285714, 0.714285714}
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