4A^2+3A+36=8A^2+3A

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Solution for 4A^2+3A+36=8A^2+3A equation:


Simplifying
4A2 + 3A + 36 = 8A2 + 3A

Reorder the terms:
36 + 3A + 4A2 = 8A2 + 3A

Reorder the terms:
36 + 3A + 4A2 = 3A + 8A2

Add '-3A' to each side of the equation.
36 + 3A + -3A + 4A2 = 3A + -3A + 8A2

Combine like terms: 3A + -3A = 0
36 + 0 + 4A2 = 3A + -3A + 8A2
36 + 4A2 = 3A + -3A + 8A2

Combine like terms: 3A + -3A = 0
36 + 4A2 = 0 + 8A2
36 + 4A2 = 8A2

Solving
36 + 4A2 = 8A2

Solving for variable 'A'.

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

Add '-8A2' to each side of the equation.
36 + 4A2 + -8A2 = 8A2 + -8A2

Combine like terms: 4A2 + -8A2 = -4A2
36 + -4A2 = 8A2 + -8A2

Combine like terms: 8A2 + -8A2 = 0
36 + -4A2 = 0

Add '-36' to each side of the equation.
36 + -36 + -4A2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -4A2 = 0 + -36
-4A2 = 0 + -36

Combine like terms: 0 + -36 = -36
-4A2 = -36

Divide each side by '-4'.
A2 = 9

Simplifying
A2 = 9

Take the square root of each side:
A = {-3, 3}

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