3a(a)-11=21+a(a)

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Solution for 3a(a)-11=21+a(a) equation: 


Simplifying
3a(a) + -11 = 21 + a(a)

Multiply a * a
3a2 + -11 = 21 + a(a)

Reorder the terms:
-11 + 3a2 = 21 + a(a)

Multiply a * a
-11 + 3a2 = 21 + a2

Solving
-11 + 3a2 = 21 + a2

Solving for variable 'a'.

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

Add '-1a2' to each side of the equation.
-11 + 3a2 + -1a2 = 21 + a2 + -1a2

Combine like terms: 3a2 + -1a2 = 2a2
-11 + 2a2 = 21 + a2 + -1a2

Combine like terms: a2 + -1a2 = 0
-11 + 2a2 = 21 + 0
-11 + 2a2 = 21

Add '11' to each side of the equation.
-11 + 11 + 2a2 = 21 + 11

Combine like terms: -11 + 11 = 0
0 + 2a2 = 21 + 11
2a2 = 21 + 11

Combine like terms: 21 + 11 = 32
2a2 = 32

Divide each side by '2'.
a2 = 16

Simplifying
a2 = 16

Take the square root of each side:
a = {-4, 4}

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