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Simplifying -48x2 + -8x + -1 = 0 Reorder the terms: -1 + -8x + -48x2 = 0 Solving -1 + -8x + -48x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 8x + 48x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 8x + 48x2)' equal to zero and attempt to solve: Simplifying 1 + 8x + 48x2 = 0 Solving 1 + 8x + 48x2 = 0 Begin completing the square. Divide all terms by 48 the coefficient of the squared term: Divide each side by '48'. 0.02083333333 + 0.1666666667x + x2 = 0 Move the constant term to the right: Add '-0.02083333333' to each side of the equation. 0.02083333333 + 0.1666666667x + -0.02083333333 + x2 = 0 + -0.02083333333 Reorder the terms: 0.02083333333 + -0.02083333333 + 0.1666666667x + x2 = 0 + -0.02083333333 Combine like terms: 0.02083333333 + -0.02083333333 = 0.00000000000 0.00000000000 + 0.1666666667x + x2 = 0 + -0.02083333333 0.1666666667x + x2 = 0 + -0.02083333333 Combine like terms: 0 + -0.02083333333 = -0.02083333333 0.1666666667x + x2 = -0.02083333333 The x term is 0.1666666667x. Take half its coefficient (0.08333333335). Square it (0.006944444447) and add it to both sides. Add '0.006944444447' to each side of the equation. 0.1666666667x + 0.006944444447 + x2 = -0.02083333333 + 0.006944444447 Reorder the terms: 0.006944444447 + 0.1666666667x + x2 = -0.02083333333 + 0.006944444447 Combine like terms: -0.02083333333 + 0.006944444447 = -0.013888888883 0.006944444447 + 0.1666666667x + x2 = -0.013888888883 Factor a perfect square on the left side: (x + 0.08333333335)(x + 0.08333333335) = -0.013888888883 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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