(g+3)*(g+3)-1=6*(g+4)+18

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Solution for (g+3)*(g+3)-1=6*(g+4)+18 equation: 


Simplifying
(g + 3)(g + 3) + -1 = 6(g + 4) + 18

Reorder the terms:
(3 + g)(g + 3) + -1 = 6(g + 4) + 18

Reorder the terms:
(3 + g)(3 + g) + -1 = 6(g + 4) + 18

Multiply (3 + g) * (3 + g)
(3(3 + g) + g(3 + g)) + -1 = 6(g + 4) + 18
((3 * 3 + g * 3) + g(3 + g)) + -1 = 6(g + 4) + 18
((9 + 3g) + g(3 + g)) + -1 = 6(g + 4) + 18
(9 + 3g + (3 * g + g * g)) + -1 = 6(g + 4) + 18
(9 + 3g + (3g + g2)) + -1 = 6(g + 4) + 18

Combine like terms: 3g + 3g = 6g
(9 + 6g + g2) + -1 = 6(g + 4) + 18

Reorder the terms:
9 + -1 + 6g + g2 = 6(g + 4) + 18

Combine like terms: 9 + -1 = 8
8 + 6g + g2 = 6(g + 4) + 18

Reorder the terms:
8 + 6g + g2 = 6(4 + g) + 18
8 + 6g + g2 = (4 * 6 + g * 6) + 18
8 + 6g + g2 = (24 + 6g) + 18

Reorder the terms:
8 + 6g + g2 = 24 + 18 + 6g

Combine like terms: 24 + 18 = 42
8 + 6g + g2 = 42 + 6g

Add '-6g' to each side of the equation.
8 + 6g + -6g + g2 = 42 + 6g + -6g

Combine like terms: 6g + -6g = 0
8 + 0 + g2 = 42 + 6g + -6g
8 + g2 = 42 + 6g + -6g

Combine like terms: 6g + -6g = 0
8 + g2 = 42 + 0
8 + g2 = 42

Solving
8 + g2 = 42

Solving for variable 'g'.

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

Add '-8' to each side of the equation.
8 + -8 + g2 = 42 + -8

Combine like terms: 8 + -8 = 0
0 + g2 = 42 + -8
g2 = 42 + -8

Combine like terms: 42 + -8 = 34
g2 = 34

Simplifying
g2 = 34

Take the square root of each side:
g = {-5.830951895, 5.830951895}

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