(3x+6)(3x+6)=3x(2x+7)+3(x*x+5)

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Solution for (3x+6)(3x+6)=3x(2x+7)+3(x*x+5) equation: 


Simplifying
(3x + 6)(3x + 6) = 3x(2x + 7) + 3(x * x + 5)

Reorder the terms:
(6 + 3x)(3x + 6) = 3x(2x + 7) + 3(x * x + 5)

Reorder the terms:
(6 + 3x)(6 + 3x) = 3x(2x + 7) + 3(x * x + 5)

Multiply (6 + 3x) * (6 + 3x)
(6(6 + 3x) + 3x * (6 + 3x)) = 3x(2x + 7) + 3(x * x + 5)
((6 * 6 + 3x * 6) + 3x * (6 + 3x)) = 3x(2x + 7) + 3(x * x + 5)
((36 + 18x) + 3x * (6 + 3x)) = 3x(2x + 7) + 3(x * x + 5)
(36 + 18x + (6 * 3x + 3x * 3x)) = 3x(2x + 7) + 3(x * x + 5)
(36 + 18x + (18x + 9x2)) = 3x(2x + 7) + 3(x * x + 5)

Combine like terms: 18x + 18x = 36x
(36 + 36x + 9x2) = 3x(2x + 7) + 3(x * x + 5)

Reorder the terms:
36 + 36x + 9x2 = 3x(7 + 2x) + 3(x * x + 5)
36 + 36x + 9x2 = (7 * 3x + 2x * 3x) + 3(x * x + 5)
36 + 36x + 9x2 = (21x + 6x2) + 3(x * x + 5)

Multiply x * x
36 + 36x + 9x2 = 21x + 6x2 + 3(x2 + 5)

Reorder the terms:
36 + 36x + 9x2 = 21x + 6x2 + 3(5 + x2)
36 + 36x + 9x2 = 21x + 6x2 + (5 * 3 + x2 * 3)
36 + 36x + 9x2 = 21x + 6x2 + (15 + 3x2)

Reorder the terms:
36 + 36x + 9x2 = 15 + 21x + 6x2 + 3x2

Combine like terms: 6x2 + 3x2 = 9x2
36 + 36x + 9x2 = 15 + 21x + 9x2

Add '-9x2' to each side of the equation.
36 + 36x + 9x2 + -9x2 = 15 + 21x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
36 + 36x + 0 = 15 + 21x + 9x2 + -9x2
36 + 36x = 15 + 21x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
36 + 36x = 15 + 21x + 0
36 + 36x = 15 + 21x

Solving
36 + 36x = 15 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
36 + 36x + -21x = 15 + 21x + -21x

Combine like terms: 36x + -21x = 15x
36 + 15x = 15 + 21x + -21x

Combine like terms: 21x + -21x = 0
36 + 15x = 15 + 0
36 + 15x = 15

Add '-36' to each side of the equation.
36 + -36 + 15x = 15 + -36

Combine like terms: 36 + -36 = 0
0 + 15x = 15 + -36
15x = 15 + -36

Combine like terms: 15 + -36 = -21
15x = -21

Divide each side by '15'.
x = -1.4

Simplifying
x = -1.4

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