8a^2+9=289

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Solution for 8a^2+9=289 equation:


Simplifying
8a2 + 9 = 289

Reorder the terms:
9 + 8a2 = 289

Solving
9 + 8a2 = 289

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 + 8a2 = 289 + -9

Combine like terms: 9 + -9 = 0
0 + 8a2 = 289 + -9
8a2 = 289 + -9

Combine like terms: 289 + -9 = 280
8a2 = 280

Divide each side by '8'.
a2 = 35

Simplifying
a2 = 35

Take the square root of each side:
a = {-5.916079783, 5.916079783}

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