(m-11)(m+3)=m-11

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Solution for (m-11)(m+3)=m-11 equation:


Simplifying
(m + -11)(m + 3) = m + -11

Reorder the terms:
(-11 + m)(m + 3) = m + -11

Reorder the terms:
(-11 + m)(3 + m) = m + -11

Multiply (-11 + m) * (3 + m)
(-11(3 + m) + m(3 + m)) = m + -11
((3 * -11 + m * -11) + m(3 + m)) = m + -11
((-33 + -11m) + m(3 + m)) = m + -11
(-33 + -11m + (3 * m + m * m)) = m + -11
(-33 + -11m + (3m + m2)) = m + -11

Combine like terms: -11m + 3m = -8m
(-33 + -8m + m2) = m + -11

Reorder the terms:
-33 + -8m + m2 = -11 + m

Solving
-33 + -8m + m2 = -11 + m

Solving for variable 'm'.

Reorder the terms:
-33 + 11 + -8m + -1m + m2 = -11 + m + 11 + -1m

Combine like terms: -33 + 11 = -22
-22 + -8m + -1m + m2 = -11 + m + 11 + -1m

Combine like terms: -8m + -1m = -9m
-22 + -9m + m2 = -11 + m + 11 + -1m

Reorder the terms:
-22 + -9m + m2 = -11 + 11 + m + -1m

Combine like terms: -11 + 11 = 0
-22 + -9m + m2 = 0 + m + -1m
-22 + -9m + m2 = m + -1m

Combine like terms: m + -1m = 0
-22 + -9m + m2 = 0

Factor a trinomial.
(-2 + -1m)(11 + -1m) = 0

Subproblem 1

Set the factor '(-2 + -1m)' equal to zero and attempt to solve: Simplifying -2 + -1m = 0 Solving -2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1m = 0 + 2 -1m = 0 + 2 Combine like terms: 0 + 2 = 2 -1m = 2 Divide each side by '-1'. m = -2 Simplifying m = -2

Subproblem 2

Set the factor '(11 + -1m)' equal to zero and attempt to solve: Simplifying 11 + -1m = 0 Solving 11 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1m = 0 + -11 -1m = 0 + -11 Combine like terms: 0 + -11 = -11 -1m = -11 Divide each side by '-1'. m = 11 Simplifying m = 11

Solution

m = {-2, 11}

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