9a^2=2a^2+294

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Solution for 9a^2=2a^2+294 equation:


Simplifying
9a2 = 2a2 + 294

Reorder the terms:
9a2 = 294 + 2a2

Solving
9a2 = 294 + 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.
9a2 + -2a2 = 294 + 2a2 + -2a2

Combine like terms: 9a2 + -2a2 = 7a2
7a2 = 294 + 2a2 + -2a2

Combine like terms: 2a2 + -2a2 = 0
7a2 = 294 + 0
7a2 = 294

Divide each side by '7'.
a2 = 42

Simplifying
a2 = 42

Take the square root of each side:
a = {-6.480740698, 6.480740698}

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