4x(x+9)=3x+27

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Solution for 4x(x+9)=3x+27 equation: 


Simplifying
4x(x + 9) = 3x + 27

Reorder the terms:
4x(9 + x) = 3x + 27
(9 * 4x + x * 4x) = 3x + 27
(36x + 4x2) = 3x + 27

Reorder the terms:
36x + 4x2 = 27 + 3x

Solving
36x + 4x2 = 27 + 3x

Solving for variable 'x'.

Reorder the terms:
-27 + 36x + -3x + 4x2 = 27 + 3x + -27 + -3x

Combine like terms: 36x + -3x = 33x
-27 + 33x + 4x2 = 27 + 3x + -27 + -3x

Reorder the terms:
-27 + 33x + 4x2 = 27 + -27 + 3x + -3x

Combine like terms: 27 + -27 = 0
-27 + 33x + 4x2 = 0 + 3x + -3x
-27 + 33x + 4x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-27 + 33x + 4x2 = 0

Factor a trinomial.
(-9 + -1x)(3 + -4x) = 0


Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {-9, 0.75}

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