4x(x+3)=4-3x

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


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

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

Solving
12x + 4x2 = 4 + -3x

Solving for variable 'x'.

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

Combine like terms: 12x + 3x = 15x
-4 + 15x + 4x2 = 4 + -3x + -4 + 3x

Reorder the terms:
-4 + 15x + 4x2 = 4 + -4 + -3x + 3x

Combine like terms: 4 + -4 = 0
-4 + 15x + 4x2 = 0 + -3x + 3x
-4 + 15x + 4x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + 15x + 4x2 = 0

Factor a trinomial.
(-4 + -1x)(1 + -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 '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 0

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

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

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

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

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {-4, 0.25}

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