-4x^2-x-2=0

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Solution for -4x^2-x-2=0 equation:


Simplifying
-4x2 + -1x + -2 = 0

Reorder the terms:
-2 + -1x + -4x2 = 0

Solving
-2 + -1x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + x + 4x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(2 + x + 4x2)' equal to zero and attempt to solve: Simplifying 2 + x + 4x2 = 0 Solving 2 + x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.5 + 0.25x + x2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 0.25x + -0.5 + x2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 0.25x + x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.25x + x2 = 0 + -0.5 0.25x + x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 0.25x + x2 = -0.5 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.25x + 0.25 + x2 = -0.5 + 0.25 Reorder the terms: 0.25 + 0.25x + x2 = -0.5 + 0.25 Combine like terms: -0.5 + 0.25 = -0.25 0.25 + 0.25x + x2 = -0.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.25 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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