5x(x+4)=3x

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


Simplifying
5x(x + 4) = 3x

Reorder the terms:
5x(4 + x) = 3x
(4 * 5x + x * 5x) = 3x
(20x + 5x2) = 3x

Solving
20x + 5x2 = 3x

Solving for variable 'x'.

Reorder the terms:
20x + -3x + 5x2 = 3x + -3x

Combine like terms: 20x + -3x = 17x
17x + 5x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
17x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(17 + 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 '(17 + 5x)' equal to zero and attempt to solve:

Simplifying
17 + 5x = 0

Solving
17 + 5x = 0

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

Add '-17' to each side of the equation.
17 + -17 + 5x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 5x = 0 + -17
5x = 0 + -17

Combine like terms: 0 + -17 = -17
5x = -17

Divide each side by '5'.
x = -3.4

Simplifying
x = -3.4
Solution
x = {0, -3.4}

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