4x(x+4)=3x+12

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Solution for 4x(x+4)=3x+12 equation: 


Simplifying
4x(x + 4) = 3x + 12

Reorder the terms:
4x(4 + x) = 3x + 12
(4 * 4x + x * 4x) = 3x + 12
(16x + 4x2) = 3x + 12

Reorder the terms:
16x + 4x2 = 12 + 3x

Solving
16x + 4x2 = 12 + 3x

Solving for variable 'x'.

Reorder the terms:
-12 + 16x + -3x + 4x2 = 12 + 3x + -12 + -3x

Combine like terms: 16x + -3x = 13x
-12 + 13x + 4x2 = 12 + 3x + -12 + -3x

Reorder the terms:
-12 + 13x + 4x2 = 12 + -12 + 3x + -3x

Combine like terms: 12 + -12 = 0
-12 + 13x + 4x2 = 0 + 3x + -3x
-12 + 13x + 4x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 13x + 4x2 = 0

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


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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 = {-4, 0.75}

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