-2x^2-6x-9=0

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Solution for -2x^2-6x-9=0 equation:


Simplifying
-2x2 + -6x + -9 = 0

Reorder the terms:
-9 + -6x + -2x2 = 0

Solving
-9 + -6x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + 6x + 2x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(9 + 6x + 2x2)' equal to zero and attempt to solve: Simplifying 9 + 6x + 2x2 = 0 Solving 9 + 6x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 4.5 + 3x + x2 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + 3x + -4.5 + x2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + 3x + x2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 3x + x2 = 0 + -4.5 3x + x2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 3x + x2 = -4.5 The x term is 3x. 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. 3x + 2.25 + x2 = -4.5 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -4.5 + 2.25 Combine like terms: -4.5 + 2.25 = -2.25 2.25 + 3x + x2 = -2.25 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -2.25 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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