3m^2+24m=-90

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Solution for 3m^2+24m=-90 equation:


Simplifying
3m2 + 24m = -90

Reorder the terms:
24m + 3m2 = -90

Solving
24m + 3m2 = -90

Solving for variable 'm'.

Reorder the terms:
90 + 24m + 3m2 = -90 + 90

Combine like terms: -90 + 90 = 0
90 + 24m + 3m2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(30 + 8m + m2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(30 + 8m + m2)' equal to zero and attempt to solve: Simplifying 30 + 8m + m2 = 0 Solving 30 + 8m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + 8m + -30 + m2 = 0 + -30 Reorder the terms: 30 + -30 + 8m + m2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 8m + m2 = 0 + -30 8m + m2 = 0 + -30 Combine like terms: 0 + -30 = -30 8m + m2 = -30 The m term is 8m. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8m + 16 + m2 = -30 + 16 Reorder the terms: 16 + 8m + m2 = -30 + 16 Combine like terms: -30 + 16 = -14 16 + 8m + m2 = -14 Factor a perfect square on the left side: (m + 4)(m + 4) = -14 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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