(x-4)(x-1)=(x+4)(x+3)

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Solution for (x-4)(x-1)=(x+4)(x+3) equation:


Simplifying
(x + -4)(x + -1) = (x + 4)(x + 3)

Reorder the terms:
(-4 + x)(x + -1) = (x + 4)(x + 3)

Reorder the terms:
(-4 + x)(-1 + x) = (x + 4)(x + 3)

Multiply (-4 + x) * (-1 + x)
(-4(-1 + x) + x(-1 + x)) = (x + 4)(x + 3)
((-1 * -4 + x * -4) + x(-1 + x)) = (x + 4)(x + 3)
((4 + -4x) + x(-1 + x)) = (x + 4)(x + 3)
(4 + -4x + (-1 * x + x * x)) = (x + 4)(x + 3)
(4 + -4x + (-1x + x2)) = (x + 4)(x + 3)

Combine like terms: -4x + -1x = -5x
(4 + -5x + x2) = (x + 4)(x + 3)

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

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

Multiply (4 + x) * (3 + x)
4 + -5x + x2 = (4(3 + x) + x(3 + x))
4 + -5x + x2 = ((3 * 4 + x * 4) + x(3 + x))
4 + -5x + x2 = ((12 + 4x) + x(3 + x))
4 + -5x + x2 = (12 + 4x + (3 * x + x * x))
4 + -5x + x2 = (12 + 4x + (3x + x2))

Combine like terms: 4x + 3x = 7x
4 + -5x + x2 = (12 + 7x + x2)

Add '-1x2' to each side of the equation.
4 + -5x + x2 + -1x2 = 12 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + -5x + 0 = 12 + 7x + x2 + -1x2
4 + -5x = 12 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + -5x = 12 + 7x + 0
4 + -5x = 12 + 7x

Solving
4 + -5x = 12 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
4 + -5x + -7x = 12 + 7x + -7x

Combine like terms: -5x + -7x = -12x
4 + -12x = 12 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + -12x = 12 + 0
4 + -12x = 12

Add '-4' to each side of the equation.
4 + -4 + -12x = 12 + -4

Combine like terms: 4 + -4 = 0
0 + -12x = 12 + -4
-12x = 12 + -4

Combine like terms: 12 + -4 = 8
-12x = 8

Divide each side by '-12'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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