28m^2+2m=8

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Solution for 28m^2+2m=8 equation:


Simplifying
28m2 + 2m = 8

Reorder the terms:
2m + 28m2 = 8

Solving
2m + 28m2 = 8

Solving for variable 'm'.

Reorder the terms:
-8 + 2m + 28m2 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 2m + 28m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + m + 14m2) = 0

Factor a trinomial.
2((-4 + -7m)(1 + -2m)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4 + -7m)' equal to zero and attempt to solve: Simplifying -4 + -7m = 0 Solving -4 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7m = 0 + 4 -7m = 0 + 4 Combine like terms: 0 + 4 = 4 -7m = 4 Divide each side by '-7'. m = -0.5714285714 Simplifying m = -0.5714285714

Subproblem 2

Set the factor '(1 + -2m)' equal to zero and attempt to solve: Simplifying 1 + -2m = 0 Solving 1 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = 0 + -1 -2m = 0 + -1 Combine like terms: 0 + -1 = -1 -2m = -1 Divide each side by '-2'. m = 0.5 Simplifying m = 0.5

Solution

m = {-0.5714285714, 0.5}

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