-27x^2-58x-84=0

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Solution for -27x^2-58x-84=0 equation:


Simplifying
-27x2 + -58x + -84 = 0

Reorder the terms:
-84 + -58x + -27x2 = 0

Solving
-84 + -58x + -27x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(84 + 58x + 27x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(84 + 58x + 27x2)' equal to zero and attempt to solve: Simplifying 84 + 58x + 27x2 = 0 Solving 84 + 58x + 27x2 = 0 Begin completing the square. Divide all terms by 27 the coefficient of the squared term: Divide each side by '27'. 3.111111111 + 2.148148148x + x2 = 0 Move the constant term to the right: Add '-3.111111111' to each side of the equation. 3.111111111 + 2.148148148x + -3.111111111 + x2 = 0 + -3.111111111 Reorder the terms: 3.111111111 + -3.111111111 + 2.148148148x + x2 = 0 + -3.111111111 Combine like terms: 3.111111111 + -3.111111111 = 0.000000000 0.000000000 + 2.148148148x + x2 = 0 + -3.111111111 2.148148148x + x2 = 0 + -3.111111111 Combine like terms: 0 + -3.111111111 = -3.111111111 2.148148148x + x2 = -3.111111111 The x term is 2.148148148x. Take half its coefficient (1.074074074). Square it (1.153635116) and add it to both sides. Add '1.153635116' to each side of the equation. 2.148148148x + 1.153635116 + x2 = -3.111111111 + 1.153635116 Reorder the terms: 1.153635116 + 2.148148148x + x2 = -3.111111111 + 1.153635116 Combine like terms: -3.111111111 + 1.153635116 = -1.957475995 1.153635116 + 2.148148148x + x2 = -1.957475995 Factor a perfect square on the left side: (x + 1.074074074)(x + 1.074074074) = -1.957475995 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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