6m^2+13m*28=0

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Solution for 6m^2+13m*28=0 equation:


Simplifying
6m2 + 13m * 28 = 0

Reorder the terms for easier multiplication:
6m2 + 13 * 28m = 0

Multiply 13 * 28
6m2 + 364m = 0

Reorder the terms:
364m + 6m2 = 0

Solving
364m + 6m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m'.
2m(182 + 3m) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0

Subproblem 2

Set the factor '(182 + 3m)' equal to zero and attempt to solve: Simplifying 182 + 3m = 0 Solving 182 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-182' to each side of the equation. 182 + -182 + 3m = 0 + -182 Combine like terms: 182 + -182 = 0 0 + 3m = 0 + -182 3m = 0 + -182 Combine like terms: 0 + -182 = -182 3m = -182 Divide each side by '3'. m = -60.66666667 Simplifying m = -60.66666667

Solution

m = {0, -60.66666667}

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