7m^2-6m-3=-3

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Solution for 7m^2-6m-3=-3 equation:


Simplifying
7m2 + -6m + -3 = -3

Reorder the terms:
-3 + -6m + 7m2 = -3

Add '3' to each side of the equation.
-3 + -6m + 3 + 7m2 = -3 + 3

Reorder the terms:
-3 + 3 + -6m + 7m2 = -3 + 3

Combine like terms: -3 + 3 = 0
0 + -6m + 7m2 = -3 + 3
-6m + 7m2 = -3 + 3

Combine like terms: -3 + 3 = 0
-6m + 7m2 = 0

Solving
-6m + 7m2 = 0

Solving for variable 'm'.

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

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 '(-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, 0.8571428571}

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