(2m-7)(m+3)=0

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Solution for (2m-7)(m+3)=0 equation:


Simplifying
(2m + -7)(m + 3) = 0

Reorder the terms:
(-7 + 2m)(m + 3) = 0

Reorder the terms:
(-7 + 2m)(3 + m) = 0

Multiply (-7 + 2m) * (3 + m)
(-7(3 + m) + 2m * (3 + m)) = 0
((3 * -7 + m * -7) + 2m * (3 + m)) = 0
((-21 + -7m) + 2m * (3 + m)) = 0
(-21 + -7m + (3 * 2m + m * 2m)) = 0
(-21 + -7m + (6m + 2m2)) = 0

Combine like terms: -7m + 6m = -1m
(-21 + -1m + 2m2) = 0

Solving
-21 + -1m + 2m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-3 + -1m)(7 + -2m) = 0

Subproblem 1

Set the factor '(-3 + -1m)' equal to zero and attempt to solve: Simplifying -3 + -1m = 0 Solving -3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1m = 0 + 3 -1m = 0 + 3 Combine like terms: 0 + 3 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3

Subproblem 2

Set the factor '(7 + -2m)' equal to zero and attempt to solve: Simplifying 7 + -2m = 0 Solving 7 + -2m = 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 + -2m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2m = 0 + -7 -2m = 0 + -7 Combine like terms: 0 + -7 = -7 -2m = -7 Divide each side by '-2'. m = 3.5 Simplifying m = 3.5

Solution

m = {-3, 3.5}

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