mx^2+4x=2(m+5)x-(m+6)

Solution for mx^2+4x=2(m+5)x-(m+6) equation:

Simplifying
mx2 + 4x = 2(m + 5) * x + -1(m + 6)

Reorder the terms:
mx2 + 4x = 2(5 + m) * x + -1(m + 6)

Reorder the terms for easier multiplication:
mx2 + 4x = 2x(5 + m) + -1(m + 6)
mx2 + 4x = (5 * 2x + m * 2x) + -1(m + 6)

Reorder the terms:
mx2 + 4x = (2mx + 10x) + -1(m + 6)
mx2 + 4x = (2mx + 10x) + -1(m + 6)

Reorder the terms:
mx2 + 4x = 2mx + 10x + -1(6 + m)
mx2 + 4x = 2mx + 10x + (6 * -1 + m * -1)
mx2 + 4x = 2mx + 10x + (-6 + -1m)

Reorder the terms:
mx2 + 4x = -6 + -1m + 2mx + 10x

Solving
mx2 + 4x = -6 + -1m + 2mx + 10x

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
mx2 + m + 4x = -6 + -1m + 2mx + m + 10x

Reorder the terms:
m + mx2 + 4x = -6 + -1m + 2mx + m + 10x

Reorder the terms:
m + mx2 + 4x = -6 + -1m + m + 2mx + 10x

Combine like terms: -1m + m = 0
m + mx2 + 4x = -6 + 0 + 2mx + 10x
m + mx2 + 4x = -6 + 2mx + 10x

Add '-2mx' to each side of the equation.
m + mx2 + -2mx + 4x = -6 + 2mx + -2mx + 10x

Reorder the terms:
m + -2mx + mx2 + 4x = -6 + 2mx + -2mx + 10x

Combine like terms: 2mx + -2mx = 0
m + -2mx + mx2 + 4x = -6 + 0 + 10x
m + -2mx + mx2 + 4x = -6 + 10x

Add '-4x' to each side of the equation.
m + -2mx + mx2 + 4x + -4x = -6 + 10x + -4x

Combine like terms: 4x + -4x = 0
m + -2mx + mx2 + 0 = -6 + 10x + -4x
m + -2mx + mx2 = -6 + 10x + -4x

Combine like terms: 10x + -4x = 6x
m + -2mx + mx2 = -6 + 6x

Reorder the terms:
6 + m + -2mx + mx2 + -6x = -6 + 6x + 6 + -6x

Reorder the terms:
6 + m + -2mx + mx2 + -6x = -6 + 6 + 6x + -6x

Combine like terms: -6 + 6 = 0
6 + m + -2mx + mx2 + -6x = 0 + 6x + -6x
6 + m + -2mx + mx2 + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
6 + m + -2mx + mx2 + -6x = 0

The solution to this equation could not be determined.