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Simplifying
5a2 + -7 + -6 = 0
Reorder the terms:
-7 + -6 + 5a2 = 0
Combine like terms: -7 + -6 = -13
-13 + 5a2 = 0
Solving
-13 + 5a2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '13' to each side of the equation.
-13 + 13 + 5a2 = 0 + 13
Combine like terms: -13 + 13 = 0
0 + 5a2 = 0 + 13
5a2 = 0 + 13
Combine like terms: 0 + 13 = 13
5a2 = 13
Divide each side by '5'.
a2 = 2.6
Simplifying
a2 = 2.6
Take the square root of each side:
a = {-1.61245155, 1.61245155}
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