-2x^2-13x-24=0

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Solution for -2x^2-13x-24=0 equation:


Simplifying
-2x2 + -13x + -24 = 0

Reorder the terms:
-24 + -13x + -2x2 = 0

Solving
-24 + -13x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(24 + 13x + 2x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(24 + 13x + 2x2)' equal to zero and attempt to solve: Simplifying 24 + 13x + 2x2 = 0 Solving 24 + 13x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 12 + 6.5x + x2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + 6.5x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + 6.5x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6.5x + x2 = 0 + -12 6.5x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 6.5x + x2 = -12 The x term is 6.5x. Take half its coefficient (3.25). Square it (10.5625) and add it to both sides. Add '10.5625' to each side of the equation. 6.5x + 10.5625 + x2 = -12 + 10.5625 Reorder the terms: 10.5625 + 6.5x + x2 = -12 + 10.5625 Combine like terms: -12 + 10.5625 = -1.4375 10.5625 + 6.5x + x2 = -1.4375 Factor a perfect square on the left side: (x + 3.25)(x + 3.25) = -1.4375 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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