(m-7)(m+11)=0

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Solution for (m-7)(m+11)=0 equation:


Simplifying
(m + -7)(m + 11) = 0

Reorder the terms:
(-7 + m)(m + 11) = 0

Reorder the terms:
(-7 + m)(11 + m) = 0

Multiply (-7 + m) * (11 + m)
(-7(11 + m) + m(11 + m)) = 0
((11 * -7 + m * -7) + m(11 + m)) = 0
((-77 + -7m) + m(11 + m)) = 0
(-77 + -7m + (11 * m + m * m)) = 0
(-77 + -7m + (11m + m2)) = 0

Combine like terms: -7m + 11m = 4m
(-77 + 4m + m2) = 0

Solving
-77 + 4m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-11 + -1m)(7 + -1m) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7

Solution

m = {-11, 7}

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