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Simplifying
0.04a2 + 0.19 + 0.05 = 5
Reorder the terms:
0.19 + 0.05 + 0.04a2 = 5
Combine like terms: 0.19 + 0.05 = 0.24
0.24 + 0.04a2 = 5
Solving
0.24 + 0.04a2 = 5
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-0.24' to each side of the equation.
0.24 + -0.24 + 0.04a2 = 5 + -0.24
Combine like terms: 0.24 + -0.24 = 0.00
0.00 + 0.04a2 = 5 + -0.24
0.04a2 = 5 + -0.24
Combine like terms: 5 + -0.24 = 4.76
0.04a2 = 4.76
Divide each side by '0.04'.
a2 = 119
Simplifying
a2 = 119
Take the square root of each side:
a = {-10.908712115, 10.908712115}
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