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

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


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

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

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

Multiply (3 + x) * (2 + x)
(3(2 + x) + x(2 + x)) = x(x + -4)
((2 * 3 + x * 3) + x(2 + x)) = x(x + -4)
((6 + 3x) + x(2 + x)) = x(x + -4)
(6 + 3x + (2 * x + x * x)) = x(x + -4)
(6 + 3x + (2x + x2)) = x(x + -4)

Combine like terms: 3x + 2x = 5x
(6 + 5x + x2) = x(x + -4)

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

Add '-1x2' to each side of the equation.
6 + 5x + x2 + -1x2 = -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + 5x + 0 = -4x + x2 + -1x2
6 + 5x = -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + 5x = -4x + 0
6 + 5x = -4x

Solving
6 + 5x = -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + 5x + 4x = -4x + 4x

Combine like terms: 5x + 4x = 9x
6 + 9x = -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 9x = 0

Add '-6' to each side of the equation.
6 + -6 + 9x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = 0 + -6
9x = 0 + -6

Combine like terms: 0 + -6 = -6
9x = -6

Divide each side by '9'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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