58=-2(m+4)m

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Solution for 58=-2(m+4)m equation:


Simplifying
58 = -2(m + 4) * m

Reorder the terms:
58 = -2(4 + m) * m

Reorder the terms for easier multiplication:
58 = -2m(4 + m)
58 = (4 * -2m + m * -2m)
58 = (-8m + -2m2)

Solving
58 = -8m + -2m2

Solving for variable 'm'.

Reorder the terms:
58 + 8m + 2m2 = -8m + 8m + -2m2 + 2m2

Combine like terms: -8m + 8m = 0
58 + 8m + 2m2 = 0 + -2m2 + 2m2
58 + 8m + 2m2 = -2m2 + 2m2

Combine like terms: -2m2 + 2m2 = 0
58 + 8m + 2m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(29 + 4m + m2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(29 + 4m + m2)' equal to zero and attempt to solve: Simplifying 29 + 4m + m2 = 0 Solving 29 + 4m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-29' to each side of the equation. 29 + 4m + -29 + m2 = 0 + -29 Reorder the terms: 29 + -29 + 4m + m2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 4m + m2 = 0 + -29 4m + m2 = 0 + -29 Combine like terms: 0 + -29 = -29 4m + m2 = -29 The m term is 4m. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4m + 4 + m2 = -29 + 4 Reorder the terms: 4 + 4m + m2 = -29 + 4 Combine like terms: -29 + 4 = -25 4 + 4m + m2 = -25 Factor a perfect square on the left side: (m + 2)(m + 2) = -25 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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