(x+m)(x-7)=x^2-3x-28

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Solution for (x+m)(x-7)=x^2-3x-28 equation: 


Simplifying
(x + m)(x + -7) = x2 + -3x + -28

Reorder the terms:
(m + x)(x + -7) = x2 + -3x + -28

Reorder the terms:
(m + x)(-7 + x) = x2 + -3x + -28

Multiply (m + x) * (-7 + x)
(m(-7 + x) + x(-7 + x)) = x2 + -3x + -28
((-7 * m + x * m) + x(-7 + x)) = x2 + -3x + -28
((-7m + mx) + x(-7 + x)) = x2 + -3x + -28
(-7m + mx + (-7 * x + x * x)) = x2 + -3x + -28
(-7m + mx + (-7x + x2)) = x2 + -3x + -28
(-7m + mx + -7x + x2) = x2 + -3x + -28

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

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

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

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

Solving
-7m + mx + -7x = -28 + -3x

Solving for variable 'm'.

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

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

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

Combine like terms: -3x + 7x = 4x
-7m + mx = -28 + 4x

Reorder the terms:
28 + -7m + mx + -4x = -28 + 4x + 28 + -4x

Reorder the terms:
28 + -7m + mx + -4x = -28 + 28 + 4x + -4x

Combine like terms: -28 + 28 = 0
28 + -7m + mx + -4x = 0 + 4x + -4x
28 + -7m + mx + -4x = 4x + -4x

Combine like terms: 4x + -4x = 0
28 + -7m + mx + -4x = 0

The solution to this equation could not be determined.

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