(2m+9)(m-7)=0

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Solution for (2m+9)(m-7)=0 equation:


Simplifying
(2m + 9)(m + -7) = 0

Reorder the terms:
(9 + 2m)(m + -7) = 0

Reorder the terms:
(9 + 2m)(-7 + m) = 0

Multiply (9 + 2m) * (-7 + m)
(9(-7 + m) + 2m * (-7 + m)) = 0
((-7 * 9 + m * 9) + 2m * (-7 + m)) = 0
((-63 + 9m) + 2m * (-7 + m)) = 0
(-63 + 9m + (-7 * 2m + m * 2m)) = 0
(-63 + 9m + (-14m + 2m2)) = 0

Combine like terms: 9m + -14m = -5m
(-63 + -5m + 2m2) = 0

Solving
-63 + -5m + 2m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-9 + -2m)(7 + -1m) = 0

Subproblem 1

Set the factor '(-9 + -2m)' equal to zero and attempt to solve: Simplifying -9 + -2m = 0 Solving -9 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2m = 0 + 9 -2m = 0 + 9 Combine like terms: 0 + 9 = 9 -2m = 9 Divide each side by '-2'. m = -4.5 Simplifying m = -4.5

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 = {-4.5, 7}

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