(7m+3)(7m-6)=0

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Solution for (7m+3)(7m-6)=0 equation:


Simplifying
(7m + 3)(7m + -6) = 0

Reorder the terms:
(3 + 7m)(7m + -6) = 0

Reorder the terms:
(3 + 7m)(-6 + 7m) = 0

Multiply (3 + 7m) * (-6 + 7m)
(3(-6 + 7m) + 7m * (-6 + 7m)) = 0
((-6 * 3 + 7m * 3) + 7m * (-6 + 7m)) = 0
((-18 + 21m) + 7m * (-6 + 7m)) = 0
(-18 + 21m + (-6 * 7m + 7m * 7m)) = 0
(-18 + 21m + (-42m + 49m2)) = 0

Combine like terms: 21m + -42m = -21m
(-18 + -21m + 49m2) = 0

Solving
-18 + -21m + 49m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-3 + -7m)(6 + -7m) = 0

Subproblem 1

Set the factor '(-3 + -7m)' equal to zero and attempt to solve: Simplifying -3 + -7m = 0 Solving -3 + -7m = 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 + -7m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7m = 0 + 3 -7m = 0 + 3 Combine like terms: 0 + 3 = 3 -7m = 3 Divide each side by '-7'. m = -0.4285714286 Simplifying m = -0.4285714286

Subproblem 2

Set the factor '(6 + -7m)' equal to zero and attempt to solve: Simplifying 6 + -7m = 0 Solving 6 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7m = 0 + -6 -7m = 0 + -6 Combine like terms: 0 + -6 = -6 -7m = -6 Divide each side by '-7'. m = 0.8571428571 Simplifying m = 0.8571428571

Solution

m = {-0.4285714286, 0.8571428571}

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