X^2-3x=5x(x+4)

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Solution for X^2-3x=5x(x+4) equation: 


Simplifying
X2 + -3x = 5x(x + 4)

Reorder the terms:
X2 + -3x = 5x(4 + x)
X2 + -3x = (4 * 5x + x * 5x)
X2 + -3x = (20x + 5x2)

Solving
X2 + -3x = 20x + 5x2

Solving for variable 'X'.

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

Add '3x' to each side of the equation.
X2 + -3x + 3x = 20x + 3x + 5x2

Combine like terms: -3x + 3x = 0
X2 + 0 = 20x + 3x + 5x2
X2 = 20x + 3x + 5x2

Combine like terms: 20x + 3x = 23x
X2 = 23x + 5x2

Simplifying
X2 = 23x + 5x2

Reorder the terms:
X2 + -23x + -5x2 = 23x + -23x + 5x2 + -5x2

Combine like terms: 23x + -23x = 0
X2 + -23x + -5x2 = 0 + 5x2 + -5x2
X2 + -23x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
X2 + -23x + -5x2 = 0

The solution to this equation could not be determined.

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