-k^2-3k-10=0

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Solution for -k^2-3k-10=0 equation:


Simplifying
-1k2 + -3k + -10 = 0

Reorder the terms:
-10 + -3k + -1k2 = 0

Solving
-10 + -3k + -1k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(10 + 3k + k2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(10 + 3k + k2)' equal to zero and attempt to solve: Simplifying 10 + 3k + k2 = 0 Solving 10 + 3k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 3k + -10 + k2 = 0 + -10 Reorder the terms: 10 + -10 + 3k + k2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3k + k2 = 0 + -10 3k + k2 = 0 + -10 Combine like terms: 0 + -10 = -10 3k + k2 = -10 The k term is 3k. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3k + 2.25 + k2 = -10 + 2.25 Reorder the terms: 2.25 + 3k + k2 = -10 + 2.25 Combine like terms: -10 + 2.25 = -7.75 2.25 + 3k + k2 = -7.75 Factor a perfect square on the left side: (k + 1.5)(k + 1.5) = -7.75 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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