5*m=(m+1)(4m)

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Solution for 5*m=(m+1)(4m) equation:


Simplifying
5m = (m + 1)(4m)

Reorder the terms:
5m = (1 + m)(4m)

Remove parenthesis around (4m)
5m = (1 + m) * 4m

Reorder the terms for easier multiplication:
5m = 4m(1 + m)
5m = (1 * 4m + m * 4m)
5m = (4m + 4m2)

Solving
5m = 4m + 4m2

Solving for variable 'm'.

Combine like terms: 5m + -4m = 1m
1m + -4m2 = 4m + 4m2 + -4m + -4m2

Reorder the terms:
1m + -4m2 = 4m + -4m + 4m2 + -4m2

Combine like terms: 4m + -4m = 0
1m + -4m2 = 0 + 4m2 + -4m2
1m + -4m2 = 4m2 + -4m2

Combine like terms: 4m2 + -4m2 = 0
1m + -4m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(1 + -4m) = 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 '(1 + -4m)' equal to zero and attempt to solve: Simplifying 1 + -4m = 0 Solving 1 + -4m = 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 + -4m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4m = 0 + -1 -4m = 0 + -1 Combine like terms: 0 + -1 = -1 -4m = -1 Divide each side by '-4'. m = 0.25 Simplifying m = 0.25

Solution

m = {0, 0.25}

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