2a^2+11=9a^2-10

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Solution for 2a^2+11=9a^2-10 equation: 


Simplifying
2a2 + 11 = 9a2 + -10

Reorder the terms:
11 + 2a2 = 9a2 + -10

Reorder the terms:
11 + 2a2 = -10 + 9a2

Solving
11 + 2a2 = -10 + 9a2

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-9a2' to each side of the equation.
11 + 2a2 + -9a2 = -10 + 9a2 + -9a2

Combine like terms: 2a2 + -9a2 = -7a2
11 + -7a2 = -10 + 9a2 + -9a2

Combine like terms: 9a2 + -9a2 = 0
11 + -7a2 = -10 + 0
11 + -7a2 = -10

Add '-11' to each side of the equation.
11 + -11 + -7a2 = -10 + -11

Combine like terms: 11 + -11 = 0
0 + -7a2 = -10 + -11
-7a2 = -10 + -11

Combine like terms: -10 + -11 = -21
-7a2 = -21

Divide each side by '-7'.
a2 = 3

Simplifying
a2 = 3

Take the square root of each side:
a = {-1.732050808, 1.732050808}

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