(X+4)(x-3)+22=(x)(x+3)

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Solution for (X+4)(x-3)+22=(x)(x+3) equation: 


Simplifying
(X + 4)(x + -3) + 22 = (x)(x + 3)

Reorder the terms:
(4 + X)(x + -3) + 22 = (x)(x + 3)

Reorder the terms:
(4 + X)(-3 + x) + 22 = (x)(x + 3)

Multiply (4 + X) * (-3 + x)
(4(-3 + x) + X(-3 + x)) + 22 = (x)(x + 3)
((-3 * 4 + x * 4) + X(-3 + x)) + 22 = (x)(x + 3)
((-12 + 4x) + X(-3 + x)) + 22 = (x)(x + 3)
(-12 + 4x + (-3 * X + x * X)) + 22 = (x)(x + 3)
(-12 + 4x + (-3X + xX)) + 22 = (x)(x + 3)

Reorder the terms:
(-12 + -3X + 4x + xX) + 22 = (x)(x + 3)
(-12 + -3X + 4x + xX) + 22 = (x)(x + 3)

Reorder the terms:
-12 + 22 + -3X + 4x + xX = (x)(x + 3)

Combine like terms: -12 + 22 = 10
10 + -3X + 4x + xX = (x)(x + 3)

Reorder the terms:
10 + -3X + 4x + xX = x(3 + x)
10 + -3X + 4x + xX = (3 * x + x * x)
10 + -3X + 4x + xX = (3x + x2)

Solving
10 + -3X + 4x + xX = 3x + x2

Solving for variable 'X'.

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

Add '-10' to each side of the equation.
10 + -3X + 4x + -10 + xX = 3x + -10 + x2

Reorder the terms:
10 + -10 + -3X + 4x + xX = 3x + -10 + x2

Combine like terms: 10 + -10 = 0
0 + -3X + 4x + xX = 3x + -10 + x2
-3X + 4x + xX = 3x + -10 + x2

Reorder the terms:
-3X + 4x + xX = -10 + 3x + x2

Add '-4x' to each side of the equation.
-3X + 4x + -4x + xX = -10 + 3x + -4x + x2

Combine like terms: 4x + -4x = 0
-3X + 0 + xX = -10 + 3x + -4x + x2
-3X + xX = -10 + 3x + -4x + x2

Combine like terms: 3x + -4x = -1x
-3X + xX = -10 + -1x + x2

Reorder the terms:
10 + -3X + x + xX + -1x2 = -10 + -1x + x2 + 10 + x + -1x2

Reorder the terms:
10 + -3X + x + xX + -1x2 = -10 + 10 + -1x + x + x2 + -1x2

Combine like terms: -10 + 10 = 0
10 + -3X + x + xX + -1x2 = 0 + -1x + x + x2 + -1x2
10 + -3X + x + xX + -1x2 = -1x + x + x2 + -1x2

Combine like terms: -1x + x = 0
10 + -3X + x + xX + -1x2 = 0 + x2 + -1x2
10 + -3X + x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + -3X + x + xX + -1x2 = 0

The solution to this equation could not be determined.

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