6x(3x+7)+27=27

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Solution for 6x(3x+7)+27=27 equation: 


Simplifying
6x(3x + 7) + 27 = 27

Reorder the terms:
6x(7 + 3x) + 27 = 27
(7 * 6x + 3x * 6x) + 27 = 27
(42x + 18x2) + 27 = 27

Reorder the terms:
27 + 42x + 18x2 = 27

Add '-27' to each side of the equation.
27 + 42x + -27 + 18x2 = 27 + -27

Reorder the terms:
27 + -27 + 42x + 18x2 = 27 + -27

Combine like terms: 27 + -27 = 0
0 + 42x + 18x2 = 27 + -27
42x + 18x2 = 27 + -27

Combine like terms: 27 + -27 = 0
42x + 18x2 = 0

Solving
42x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(7 + 3x) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333
Solution
x = {0, -2.333333333}

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