5m^2+30m=-75

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Solution for 5m^2+30m=-75 equation:


Simplifying
5m2 + 30m = -75

Reorder the terms:
30m + 5m2 = -75

Solving
30m + 5m2 = -75

Solving for variable 'm'.

Reorder the terms:
75 + 30m + 5m2 = -75 + 75

Combine like terms: -75 + 75 = 0
75 + 30m + 5m2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(15 + 6m + m2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(15 + 6m + m2)' equal to zero and attempt to solve: Simplifying 15 + 6m + m2 = 0 Solving 15 + 6m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + 6m + -15 + m2 = 0 + -15 Reorder the terms: 15 + -15 + 6m + m2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 6m + m2 = 0 + -15 6m + m2 = 0 + -15 Combine like terms: 0 + -15 = -15 6m + m2 = -15 The m term is 6m. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6m + 9 + m2 = -15 + 9 Reorder the terms: 9 + 6m + m2 = -15 + 9 Combine like terms: -15 + 9 = -6 9 + 6m + m2 = -6 Factor a perfect square on the left side: (m + 3)(m + 3) = -6 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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