9m^2-54m-63=0

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Solution for 9m^2-54m-63=0 equation:


Simplifying
9m2 + -54m + -63 = 0

Reorder the terms:
-63 + -54m + 9m2 = 0

Solving
-63 + -54m + 9m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-7 + -6m + m2) = 0

Factor a trinomial.
9((-1 + -1m)(7 + -1m)) = 0

Ignore the factor 9.

Subproblem 1

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

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 = {-1, 7}

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