-13=5(1+4m)m-2m

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Solution for -13=5(1+4m)m-2m equation:


Simplifying
-13 = 5(1 + 4m) * m + -2m

Reorder the terms for easier multiplication:
-13 = 5m(1 + 4m) + -2m
-13 = (1 * 5m + 4m * 5m) + -2m
-13 = (5m + 20m2) + -2m

Reorder the terms:
-13 = 5m + -2m + 20m2

Combine like terms: 5m + -2m = 3m
-13 = 3m + 20m2

Solving
-13 = 3m + 20m2

Solving for variable 'm'.

Reorder the terms:
-13 + -3m + -20m2 = 3m + -3m + 20m2 + -20m2

Combine like terms: 3m + -3m = 0
-13 + -3m + -20m2 = 0 + 20m2 + -20m2
-13 + -3m + -20m2 = 20m2 + -20m2

Combine like terms: 20m2 + -20m2 = 0
-13 + -3m + -20m2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(13 + 3m + 20m2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(13 + 3m + 20m2)' equal to zero and attempt to solve: Simplifying 13 + 3m + 20m2 = 0 Solving 13 + 3m + 20m2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 0.65 + 0.15m + m2 = 0.0 Move the constant term to the right: Add '-0.65' to each side of the equation. 0.65 + 0.15m + -0.65 + m2 = 0.0 + -0.65 Reorder the terms: 0.65 + -0.65 + 0.15m + m2 = 0.0 + -0.65 Combine like terms: 0.65 + -0.65 = 0.00 0.00 + 0.15m + m2 = 0.0 + -0.65 0.15m + m2 = 0.0 + -0.65 Combine like terms: 0.0 + -0.65 = -0.65 0.15m + m2 = -0.65 The m term is 0.15m. Take half its coefficient (0.075). Square it (0.005625) and add it to both sides. Add '0.005625' to each side of the equation. 0.15m + 0.005625 + m2 = -0.65 + 0.005625 Reorder the terms: 0.005625 + 0.15m + m2 = -0.65 + 0.005625 Combine like terms: -0.65 + 0.005625 = -0.644375 0.005625 + 0.15m + m2 = -0.644375 Factor a perfect square on the left side: (m + 0.075)(m + 0.075) = -0.644375 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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