x(x-2)+4=x(3+x)

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


Simplifying
x(x + -2) + 4 = x(3 + x)

Reorder the terms:
x(-2 + x) + 4 = x(3 + x)
(-2 * x + x * x) + 4 = x(3 + x)
(-2x + x2) + 4 = x(3 + x)

Reorder the terms:
4 + -2x + x2 = x(3 + x)
4 + -2x + x2 = (3 * x + x * x)
4 + -2x + x2 = (3x + x2)

Add '-1x2' to each side of the equation.
4 + -2x + x2 + -1x2 = 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + -2x + 0 = 3x + x2 + -1x2
4 + -2x = 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + -2x = 3x + 0
4 + -2x = 3x

Solving
4 + -2x = 3x

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.
4 + -2x + -3x = 3x + -3x

Combine like terms: -2x + -3x = -5x
4 + -5x = 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -5x = 0

Add '-4' to each side of the equation.
4 + -4 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8

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