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Simplifying
(5a2 + -2) + -1(2a2 + 7) + (-9a2 + 18) = 0
Reorder the terms:
(-2 + 5a2) + -1(2a2 + 7) + (-9a2 + 18) = 0
Remove parenthesis around (-2 + 5a2)
-2 + 5a2 + -1(2a2 + 7) + (-9a2 + 18) = 0
Reorder the terms:
-2 + 5a2 + -1(7 + 2a2) + (-9a2 + 18) = 0
-2 + 5a2 + (7 * -1 + 2a2 * -1) + (-9a2 + 18) = 0
-2 + 5a2 + (-7 + -2a2) + (-9a2 + 18) = 0
Reorder the terms:
-2 + 5a2 + -7 + -2a2 + (18 + -9a2) = 0
Remove parenthesis around (18 + -9a2)
-2 + 5a2 + -7 + -2a2 + 18 + -9a2 = 0
Reorder the terms:
-2 + -7 + 18 + 5a2 + -2a2 + -9a2 = 0
Combine like terms: -2 + -7 = -9
-9 + 18 + 5a2 + -2a2 + -9a2 = 0
Combine like terms: -9 + 18 = 9
9 + 5a2 + -2a2 + -9a2 = 0
Combine like terms: 5a2 + -2a2 = 3a2
9 + 3a2 + -9a2 = 0
Combine like terms: 3a2 + -9a2 = -6a2
9 + -6a2 = 0
Solving
9 + -6a2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + -6a2 = 0 + -9
Combine like terms: 9 + -9 = 0
0 + -6a2 = 0 + -9
-6a2 = 0 + -9
Combine like terms: 0 + -9 = -9
-6a2 = -9
Divide each side by '-6'.
a2 = 1.5
Simplifying
a2 = 1.5
Take the square root of each side:
a = {-1.224744871, 1.224744871}
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