(X+4)(x-1)=-x^2+3x+4

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Solution for (X+4)(x-1)=-x^2+3x+4 equation:


Simplifying
(X + 4)(x + -1) = -1x2 + 3x + 4

Reorder the terms:
(4 + X)(x + -1) = -1x2 + 3x + 4

Reorder the terms:
(4 + X)(-1 + x) = -1x2 + 3x + 4

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

Reorder the terms:
(-4 + -1X + 4x + xX) = -1x2 + 3x + 4
(-4 + -1X + 4x + xX) = -1x2 + 3x + 4

Reorder the terms:
-4 + -1X + 4x + xX = 4 + 3x + -1x2

Solving
-4 + -1X + 4x + xX = 4 + 3x + -1x2

Solving for variable 'X'.

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

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

Reorder the terms:
-4 + 4 + -1X + 4x + xX = 4 + 3x + 4 + -1x2

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

Reorder the terms:
-1X + 4x + xX = 4 + 4 + 3x + -1x2

Combine like terms: 4 + 4 = 8
-1X + 4x + xX = 8 + 3x + -1x2

Add '-4x' to each side of the equation.
-1X + 4x + -4x + xX = 8 + 3x + -4x + -1x2

Combine like terms: 4x + -4x = 0
-1X + 0 + xX = 8 + 3x + -4x + -1x2
-1X + xX = 8 + 3x + -4x + -1x2

Combine like terms: 3x + -4x = -1x
-1X + xX = 8 + -1x + -1x2

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

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

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

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

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

The solution to this equation could not be determined.

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