77m^2=m(m+4)

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Solution for 77m^2=m(m+4) equation:


Simplifying
77m2 = m(m + 4)

Reorder the terms:
77m2 = m(4 + m)
77m2 = (4 * m + m * m)
77m2 = (4m + m2)

Solving
77m2 = 4m + m2

Solving for variable 'm'.

Reorder the terms:
-4m + 77m2 + -1m2 = 4m + m2 + -4m + -1m2

Combine like terms: 77m2 + -1m2 = 76m2
-4m + 76m2 = 4m + m2 + -4m + -1m2

Reorder the terms:
-4m + 76m2 = 4m + -4m + m2 + -1m2

Combine like terms: 4m + -4m = 0
-4m + 76m2 = 0 + m2 + -1m2
-4m + 76m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
-4m + 76m2 = 0

Factor out the Greatest Common Factor (GCF), '4m'.
4m(-1 + 19m) = 0

Ignore the factor 4.

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 + 19m)' equal to zero and attempt to solve: Simplifying -1 + 19m = 0 Solving -1 + 19m = 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 + 19m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 19m = 0 + 1 19m = 0 + 1 Combine like terms: 0 + 1 = 1 19m = 1 Divide each side by '19'. m = 0.05263157895 Simplifying m = 0.05263157895

Solution

m = {0, 0.05263157895}

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