(X+m)(x-7)=x(x)-3x-28

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Solution for (X+m)(x-7)=x(x)-3x-28 equation: 


Simplifying
(X + m)(x + -7) = x(x) + -3x + -28

Reorder the terms:
(X + m)(-7 + x) = x(x) + -3x + -28

Multiply (X + m) * (-7 + x)
(X(-7 + x) + m(-7 + x)) = x(x) + -3x + -28
((-7 * X + x * X) + m(-7 + x)) = x(x) + -3x + -28
((-7X + xX) + m(-7 + x)) = x(x) + -3x + -28
(-7X + xX + (-7 * m + x * m)) = x(x) + -3x + -28
(-7X + xX + (-7m + mx)) = x(x) + -3x + -28

Reorder the terms:
(-7X + -7m + mx + xX) = x(x) + -3x + -28
(-7X + -7m + mx + xX) = x(x) + -3x + -28

Multiply x * x
-7X + -7m + mx + xX = x2 + -3x + -28

Reorder the terms:
-7X + -7m + mx + xX = -28 + -3x + x2

Solving
-7X + -7m + mx + xX = -28 + -3x + x2

Solving for variable 'X'.

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

Add '7m' to each side of the equation.
-7X + -7m + mx + 7m + xX = -28 + -3x + 7m + x2

Reorder the terms:
-7X + -7m + 7m + mx + xX = -28 + -3x + 7m + x2

Combine like terms: -7m + 7m = 0
-7X + 0 + mx + xX = -28 + -3x + 7m + x2
-7X + mx + xX = -28 + -3x + 7m + x2

Reorder the terms:
-7X + mx + xX = -28 + 7m + -3x + x2

Add '-1mx' to each side of the equation.
-7X + mx + -1mx + xX = -28 + 7m + -3x + -1mx + x2

Combine like terms: mx + -1mx = 0
-7X + 0 + xX = -28 + 7m + -3x + -1mx + x2
-7X + xX = -28 + 7m + -3x + -1mx + x2

Reorder the terms:
-7X + xX = -28 + 7m + -1mx + -3x + x2

Reorder the terms:
28 + -7X + -7m + mx + 3x + xX + -1x2 = -28 + 7m + -1mx + -3x + x2 + 28 + -7m + mx + 3x + -1x2

Reorder the terms:
28 + -7X + -7m + mx + 3x + xX + -1x2 = -28 + 28 + 7m + -7m + -1mx + mx + -3x + 3x + x2 + -1x2

Combine like terms: -28 + 28 = 0
28 + -7X + -7m + mx + 3x + xX + -1x2 = 0 + 7m + -7m + -1mx + mx + -3x + 3x + x2 + -1x2
28 + -7X + -7m + mx + 3x + xX + -1x2 = 7m + -7m + -1mx + mx + -3x + 3x + x2 + -1x2

Combine like terms: 7m + -7m = 0
28 + -7X + -7m + mx + 3x + xX + -1x2 = 0 + -1mx + mx + -3x + 3x + x2 + -1x2
28 + -7X + -7m + mx + 3x + xX + -1x2 = -1mx + mx + -3x + 3x + x2 + -1x2

Combine like terms: -1mx + mx = 0
28 + -7X + -7m + mx + 3x + xX + -1x2 = 0 + -3x + 3x + x2 + -1x2
28 + -7X + -7m + mx + 3x + xX + -1x2 = -3x + 3x + x2 + -1x2

Combine like terms: -3x + 3x = 0
28 + -7X + -7m + mx + 3x + xX + -1x2 = 0 + x2 + -1x2
28 + -7X + -7m + mx + 3x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
28 + -7X + -7m + mx + 3x + xX + -1x2 = 0

The solution to this equation could not be determined.

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