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Simplifying -21x2 + -4x + -1 = 0 Reorder the terms: -1 + -4x + -21x2 = 0 Solving -1 + -4x + -21x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 4x + 21x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 4x + 21x2)' equal to zero and attempt to solve: Simplifying 1 + 4x + 21x2 = 0 Solving 1 + 4x + 21x2 = 0 Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 0.04761904762 + 0.1904761905x + x2 = 0 Move the constant term to the right: Add '-0.04761904762' to each side of the equation. 0.04761904762 + 0.1904761905x + -0.04761904762 + x2 = 0 + -0.04761904762 Reorder the terms: 0.04761904762 + -0.04761904762 + 0.1904761905x + x2 = 0 + -0.04761904762 Combine like terms: 0.04761904762 + -0.04761904762 = 0.00000000000 0.00000000000 + 0.1904761905x + x2 = 0 + -0.04761904762 0.1904761905x + x2 = 0 + -0.04761904762 Combine like terms: 0 + -0.04761904762 = -0.04761904762 0.1904761905x + x2 = -0.04761904762 The x term is 0.1904761905x. Take half its coefficient (0.09523809525). Square it (0.009070294787) and add it to both sides. Add '0.009070294787' to each side of the equation. 0.1904761905x + 0.009070294787 + x2 = -0.04761904762 + 0.009070294787 Reorder the terms: 0.009070294787 + 0.1904761905x + x2 = -0.04761904762 + 0.009070294787 Combine like terms: -0.04761904762 + 0.009070294787 = -0.038548752833 0.009070294787 + 0.1904761905x + x2 = -0.038548752833 Factor a perfect square on the left side: (x + 0.09523809525)(x + 0.09523809525) = -0.038548752833 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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