(X-4)(x+1)+(x-4)(x+2)=

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Solution for (X-4)(x+1)+(x-4)(x+2)= equation: 


Simplifying
(X + -4)(x + 1) + (x + -4)(x + 2) = 0

Reorder the terms:
(-4 + X)(x + 1) + (x + -4)(x + 2) = 0

Reorder the terms:
(-4 + X)(1 + x) + (x + -4)(x + 2) = 0

Multiply (-4 + X) * (1 + x)
(-4(1 + x) + X(1 + x)) + (x + -4)(x + 2) = 0
((1 * -4 + x * -4) + X(1 + x)) + (x + -4)(x + 2) = 0
((-4 + -4x) + X(1 + x)) + (x + -4)(x + 2) = 0
(-4 + -4x + (1 * X + x * X)) + (x + -4)(x + 2) = 0
(-4 + -4x + (1X + xX)) + (x + -4)(x + 2) = 0

Reorder the terms:
(-4 + 1X + -4x + xX) + (x + -4)(x + 2) = 0
(-4 + 1X + -4x + xX) + (x + -4)(x + 2) = 0

Reorder the terms:
-4 + 1X + -4x + xX + (-4 + x)(x + 2) = 0

Reorder the terms:
-4 + 1X + -4x + xX + (-4 + x)(2 + x) = 0

Multiply (-4 + x) * (2 + x)
-4 + 1X + -4x + xX + (-4(2 + x) + x(2 + x)) = 0
-4 + 1X + -4x + xX + ((2 * -4 + x * -4) + x(2 + x)) = 0
-4 + 1X + -4x + xX + ((-8 + -4x) + x(2 + x)) = 0
-4 + 1X + -4x + xX + (-8 + -4x + (2 * x + x * x)) = 0
-4 + 1X + -4x + xX + (-8 + -4x + (2x + x2)) = 0

Combine like terms: -4x + 2x = -2x
-4 + 1X + -4x + xX + (-8 + -2x + x2) = 0

Reorder the terms:
-4 + -8 + 1X + -4x + -2x + xX + x2 = 0

Combine like terms: -4 + -8 = -12
-12 + 1X + -4x + -2x + xX + x2 = 0

Combine like terms: -4x + -2x = -6x
-12 + 1X + -6x + xX + x2 = 0

Solving
-12 + 1X + -6x + xX + x2 = 0

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + 1X + -6x + xX + 12 + x2 = 0 + 12

Reorder the terms:
-12 + 12 + 1X + -6x + xX + x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 1X + -6x + xX + x2 = 0 + 12
1X + -6x + xX + x2 = 0 + 12

Combine like terms: 0 + 12 = 12
1X + -6x + xX + x2 = 12

Add '6x' to each side of the equation.
1X + -6x + xX + 6x + x2 = 12 + 6x

Reorder the terms:
1X + -6x + 6x + xX + x2 = 12 + 6x

Combine like terms: -6x + 6x = 0
1X + 0 + xX + x2 = 12 + 6x
1X + xX + x2 = 12 + 6x

Add '-1x2' to each side of the equation.
1X + xX + x2 + -1x2 = 12 + 6x + -1x2

Combine like terms: x2 + -1x2 = 0
1X + xX + 0 = 12 + 6x + -1x2
1X + xX = 12 + 6x + -1x2

Reorder the terms:
-12 + 1X + -6x + xX + x2 = 12 + 6x + -1x2 + -12 + -6x + x2

Reorder the terms:
-12 + 1X + -6x + xX + x2 = 12 + -12 + 6x + -6x + -1x2 + x2

Combine like terms: 12 + -12 = 0
-12 + 1X + -6x + xX + x2 = 0 + 6x + -6x + -1x2 + x2
-12 + 1X + -6x + xX + x2 = 6x + -6x + -1x2 + x2

Combine like terms: 6x + -6x = 0
-12 + 1X + -6x + xX + x2 = 0 + -1x2 + x2
-12 + 1X + -6x + xX + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-12 + 1X + -6x + xX + x2 = 0

The solution to this equation could not be determined.

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