5x(x+4)=6x

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Solution for 5x(x+4)=6x equation: 


Simplifying
5x(x + 4) = 6x

Reorder the terms:
5x(4 + x) = 6x
(4 * 5x + x * 5x) = 6x
(20x + 5x2) = 6x

Solving
20x + 5x2 = 6x

Solving for variable 'x'.

Reorder the terms:
20x + -6x + 5x2 = 6x + -6x

Combine like terms: 20x + -6x = 14x
14x + 5x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
14x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(14 + 5x) = 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 '(14 + 5x)' equal to zero and attempt to solve:

Simplifying
14 + 5x = 0

Solving
14 + 5x = 0

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

Add '-14' to each side of the equation.
14 + -14 + 5x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 5x = 0 + -14
5x = 0 + -14

Combine like terms: 0 + -14 = -14
5x = -14

Divide each side by '5'.
x = -2.8

Simplifying
x = -2.8
Solution
x = {0, -2.8}

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