-2x^2-3x-27=0

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Solution for -2x^2-3x-27=0 equation:


Simplifying
-2x2 + -3x + -27 = 0

Reorder the terms:
-27 + -3x + -2x2 = 0

Solving
-27 + -3x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(27 + 3x + 2x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(27 + 3x + 2x2)' equal to zero and attempt to solve: Simplifying 27 + 3x + 2x2 = 0 Solving 27 + 3x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 13.5 + 1.5x + x2 = 0 Move the constant term to the right: Add '-13.5' to each side of the equation. 13.5 + 1.5x + -13.5 + x2 = 0 + -13.5 Reorder the terms: 13.5 + -13.5 + 1.5x + x2 = 0 + -13.5 Combine like terms: 13.5 + -13.5 = 0.0 0.0 + 1.5x + x2 = 0 + -13.5 1.5x + x2 = 0 + -13.5 Combine like terms: 0 + -13.5 = -13.5 1.5x + x2 = -13.5 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = -13.5 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = -13.5 + 0.5625 Combine like terms: -13.5 + 0.5625 = -12.9375 0.5625 + 1.5x + x2 = -12.9375 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = -12.9375 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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