5m^2=18m+8

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Solution for 5m^2=18m+8 equation:


Simplifying
5m2 = 18m + 8

Reorder the terms:
5m2 = 8 + 18m

Solving
5m2 = 8 + 18m

Solving for variable 'm'.

Reorder the terms:
-8 + -18m + 5m2 = 8 + 18m + -8 + -18m

Reorder the terms:
-8 + -18m + 5m2 = 8 + -8 + 18m + -18m

Combine like terms: 8 + -8 = 0
-8 + -18m + 5m2 = 0 + 18m + -18m
-8 + -18m + 5m2 = 18m + -18m

Combine like terms: 18m + -18m = 0
-8 + -18m + 5m2 = 0

Factor a trinomial.
(-2 + -5m)(4 + -1m) = 0

Subproblem 1

Set the factor '(-2 + -5m)' equal to zero and attempt to solve: Simplifying -2 + -5m = 0 Solving -2 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5m = 0 + 2 -5m = 0 + 2 Combine like terms: 0 + 2 = 2 -5m = 2 Divide each side by '-5'. m = -0.4 Simplifying m = -0.4

Subproblem 2

Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 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 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4

Solution

m = {-0.4, 4}

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