36k^2+80k+80=0

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Solution for 36k^2+80k+80=0 equation:


Simplifying
36k2 + 80k + 80 = 0

Reorder the terms:
80 + 80k + 36k2 = 0

Solving
80 + 80k + 36k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '4'.
4(20 + 20k + 9k2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(20 + 20k + 9k2)' equal to zero and attempt to solve: Simplifying 20 + 20k + 9k2 = 0 Solving 20 + 20k + 9k2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 2.222222222 + 2.222222222k + k2 = 0 Move the constant term to the right: Add '-2.222222222' to each side of the equation. 2.222222222 + 2.222222222k + -2.222222222 + k2 = 0 + -2.222222222 Reorder the terms: 2.222222222 + -2.222222222 + 2.222222222k + k2 = 0 + -2.222222222 Combine like terms: 2.222222222 + -2.222222222 = 0.000000000 0.000000000 + 2.222222222k + k2 = 0 + -2.222222222 2.222222222k + k2 = 0 + -2.222222222 Combine like terms: 0 + -2.222222222 = -2.222222222 2.222222222k + k2 = -2.222222222 The k term is 2.222222222k. Take half its coefficient (1.111111111). Square it (1.234567901) and add it to both sides. Add '1.234567901' to each side of the equation. 2.222222222k + 1.234567901 + k2 = -2.222222222 + 1.234567901 Reorder the terms: 1.234567901 + 2.222222222k + k2 = -2.222222222 + 1.234567901 Combine like terms: -2.222222222 + 1.234567901 = -0.987654321 1.234567901 + 2.222222222k + k2 = -0.987654321 Factor a perfect square on the left side: (k + 1.111111111)(k + 1.111111111) = -0.987654321 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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