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Simplifying
4a2 + 15 + -25 = 0
Reorder the terms:
15 + -25 + 4a2 = 0
Combine like terms: 15 + -25 = -10
-10 + 4a2 = 0
Solving
-10 + 4a2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 4a2 = 0 + 10
Combine like terms: -10 + 10 = 0
0 + 4a2 = 0 + 10
4a2 = 0 + 10
Combine like terms: 0 + 10 = 10
4a2 = 10
Divide each side by '4'.
a2 = 2.5
Simplifying
a2 = 2.5
Take the square root of each side:
a = {-1.58113883, 1.58113883}
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