4x+7x(x-4)=12x

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Solution for 4x+7x(x-4)=12x equation: 


Simplifying
4x + 7x(x + -4) = 12x

Reorder the terms:
4x + 7x(-4 + x) = 12x
4x + (-4 * 7x + x * 7x) = 12x
4x + (-28x + 7x2) = 12x

Combine like terms: 4x + -28x = -24x
-24x + 7x2 = 12x

Solving
-24x + 7x2 = 12x

Solving for variable 'x'.

Reorder the terms:
-24x + -12x + 7x2 = 12x + -12x

Combine like terms: -24x + -12x = -36x
-36x + 7x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
-36x + 7x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-36 + 7x) = 0


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 '(-36 + 7x)' equal to zero and attempt to solve:

Simplifying
-36 + 7x = 0

Solving
-36 + 7x = 0

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

Add '36' to each side of the equation.
-36 + 36 + 7x = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 7x = 0 + 36
7x = 0 + 36

Combine like terms: 0 + 36 = 36
7x = 36

Divide each side by '7'.
x = 5.142857143

Simplifying
x = 5.142857143
Solution
x = {0, 5.142857143}

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