3x(x+4)=5x

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Solution for 3x(x+4)=5x equation: 


Simplifying
3x(x + 4) = 5x

Reorder the terms:
3x(4 + x) = 5x
(4 * 3x + x * 3x) = 5x
(12x + 3x2) = 5x

Solving
12x + 3x2 = 5x

Solving for variable 'x'.

Reorder the terms:
12x + -5x + 3x2 = 5x + -5x

Combine like terms: 12x + -5x = 7x
7x + 3x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
7x + 3x2 = 0

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