0=m^2+9m+14

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Solution for 0=m^2+9m+14 equation:


Simplifying
0 = m2 + 9m + 14

Reorder the terms:
0 = 14 + 9m + m2

Solving
0 = 14 + 9m + m2

Solving for variable 'm'.

Combine like terms: 0 + -14 = -14
-14 + -9m + -1m2 = 14 + 9m + m2 + -14 + -9m + -1m2

Reorder the terms:
-14 + -9m + -1m2 = 14 + -14 + 9m + -9m + m2 + -1m2

Combine like terms: 14 + -14 = 0
-14 + -9m + -1m2 = 0 + 9m + -9m + m2 + -1m2
-14 + -9m + -1m2 = 9m + -9m + m2 + -1m2

Combine like terms: 9m + -9m = 0
-14 + -9m + -1m2 = 0 + m2 + -1m2
-14 + -9m + -1m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
-14 + -9m + -1m2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(14 + 9m + m2) = 0

Factor a trinomial.
-1((7 + m)(2 + m)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(7 + m)' equal to zero and attempt to solve: Simplifying 7 + m = 0 Solving 7 + m = 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 + m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + m = 0 + -7 m = 0 + -7 Combine like terms: 0 + -7 = -7 m = -7 Simplifying m = -7

Subproblem 2

Set the factor '(2 + m)' equal to zero and attempt to solve: Simplifying 2 + m = 0 Solving 2 + m = 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 + m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m = 0 + -2 m = 0 + -2 Combine like terms: 0 + -2 = -2 m = -2 Simplifying m = -2

Solution

m = {-7, -2}

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