(m+a)(m+b)=m^2+6m-21

Solution for (m+a)(m+b)=m^2+6m-21 equation:

Simplifying
(m + a)(m + b) = m2 + 6m + -21

Reorder the terms:
(a + m)(m + b) = m2 + 6m + -21

Reorder the terms:
(a + m)(b + m) = m2 + 6m + -21

Multiply (a + m) * (b + m)
(a(b + m) + m(b + m)) = m2 + 6m + -21
((b * a + m * a) + m(b + m)) = m2 + 6m + -21
((ab + am) + m(b + m)) = m2 + 6m + -21
(ab + am + (b * m + m * m)) = m2 + 6m + -21
(ab + am + (bm + m2)) = m2 + 6m + -21
(ab + am + bm + m2) = m2 + 6m + -21

Reorder the terms:
ab + am + bm + m2 = -21 + 6m + m2

Add '-1m2' to each side of the equation.
ab + am + bm + m2 + -1m2 = -21 + 6m + m2 + -1m2

Combine like terms: m2 + -1m2 = 0
ab + am + bm + 0 = -21 + 6m + m2 + -1m2
ab + am + bm = -21 + 6m + m2 + -1m2

Combine like terms: m2 + -1m2 = 0
ab + am + bm = -21 + 6m + 0
ab + am + bm = -21 + 6m

Solving
ab + am + bm = -21 + 6m

Solving for variable 'a'.

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

Add '-1bm' to each side of the equation.
ab + am + bm + -1bm = -21 + -1bm + 6m

Combine like terms: bm + -1bm = 0
ab + am + 0 = -21 + -1bm + 6m
ab + am = -21 + -1bm + 6m

Reorder the terms:
21 + ab + am + bm + -6m = -21 + -1bm + 6m + 21 + bm + -6m

Reorder the terms:
21 + ab + am + bm + -6m = -21 + 21 + -1bm + bm + 6m + -6m

Combine like terms: -21 + 21 = 0
21 + ab + am + bm + -6m = 0 + -1bm + bm + 6m + -6m
21 + ab + am + bm + -6m = -1bm + bm + 6m + -6m

Combine like terms: -1bm + bm = 0
21 + ab + am + bm + -6m = 0 + 6m + -6m
21 + ab + am + bm + -6m = 6m + -6m

Combine like terms: 6m + -6m = 0
21 + ab + am + bm + -6m = 0

The solution to this equation could not be determined.