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Simplifying
a2 + 15 = 2a2 + -65
Reorder the terms:
15 + a2 = 2a2 + -65
Reorder the terms:
15 + a2 = -65 + 2a2
Solving
15 + a2 = -65 + 2a2
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-2a2' to each side of the equation.
15 + a2 + -2a2 = -65 + 2a2 + -2a2
Combine like terms: a2 + -2a2 = -1a2
15 + -1a2 = -65 + 2a2 + -2a2
Combine like terms: 2a2 + -2a2 = 0
15 + -1a2 = -65 + 0
15 + -1a2 = -65
Add '-15' to each side of the equation.
15 + -15 + -1a2 = -65 + -15
Combine like terms: 15 + -15 = 0
0 + -1a2 = -65 + -15
-1a2 = -65 + -15
Combine like terms: -65 + -15 = -80
-1a2 = -80
Divide each side by '-1'.
a2 = 80
Simplifying
a2 = 80
Take the square root of each side:
a = {-8.94427191, 8.94427191}
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