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Simplifying -11x2 + -8x + -4 = 0 Reorder the terms: -4 + -8x + -11x2 = 0 Solving -4 + -8x + -11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 8x + 11x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + 8x + 11x2)' equal to zero and attempt to solve: Simplifying 4 + 8x + 11x2 = 0 Solving 4 + 8x + 11x2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.3636363636 + 0.7272727273x + x2 = 0 Move the constant term to the right: Add '-0.3636363636' to each side of the equation. 0.3636363636 + 0.7272727273x + -0.3636363636 + x2 = 0 + -0.3636363636 Reorder the terms: 0.3636363636 + -0.3636363636 + 0.7272727273x + x2 = 0 + -0.3636363636 Combine like terms: 0.3636363636 + -0.3636363636 = 0.0000000000 0.0000000000 + 0.7272727273x + x2 = 0 + -0.3636363636 0.7272727273x + x2 = 0 + -0.3636363636 Combine like terms: 0 + -0.3636363636 = -0.3636363636 0.7272727273x + x2 = -0.3636363636 The x term is 0.7272727273x. Take half its coefficient (0.3636363637). Square it (0.1322314050) and add it to both sides. Add '0.1322314050' to each side of the equation. 0.7272727273x + 0.1322314050 + x2 = -0.3636363636 + 0.1322314050 Reorder the terms: 0.1322314050 + 0.7272727273x + x2 = -0.3636363636 + 0.1322314050 Combine like terms: -0.3636363636 + 0.1322314050 = -0.2314049586 0.1322314050 + 0.7272727273x + x2 = -0.2314049586 Factor a perfect square on the left side: (x + 0.3636363637)(x + 0.3636363637) = -0.2314049586 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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