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Simplifying (-31x2) + -18x + -128 = 0 Reorder the terms: -128 + -18x + (-31x2) = 0 Solving -128 + -18x + (-31x2) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(128 + 18x + (31x2)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(128 + 18x + (31x2))' equal to zero and attempt to solve: Simplifying 128 + 18x + (31x2) = 0 Solving 128 + 18x + (31x2) = 0 Begin completing the square. Divide all terms by 31 the coefficient of the squared term: Divide each side by '31'. 4.129032258 + 0.5806451613x + x2 = 0 Move the constant term to the right: Add '-4.129032258' to each side of the equation. 4.129032258 + 0.5806451613x + -4.129032258 + x2 = 0 + -4.129032258 Reorder the terms: 4.129032258 + -4.129032258 + 0.5806451613x + x2 = 0 + -4.129032258 Combine like terms: 4.129032258 + -4.129032258 = 0.000000000 0.000000000 + 0.5806451613x + x2 = 0 + -4.129032258 0.5806451613x + x2 = 0 + -4.129032258 Combine like terms: 0 + -4.129032258 = -4.129032258 0.5806451613x + x2 = -4.129032258 The x term is 0.5806451613x. Take half its coefficient (0.2903225807). Square it (0.08428720086) and add it to both sides. Add '0.08428720086' to each side of the equation. 0.5806451613x + 0.08428720086 + x2 = -4.129032258 + 0.08428720086 Reorder the terms: 0.08428720086 + 0.5806451613x + x2 = -4.129032258 + 0.08428720086 Combine like terms: -4.129032258 + 0.08428720086 = -4.04474505714 0.08428720086 + 0.5806451613x + x2 = -4.04474505714 Factor a perfect square on the left side: ((x) + 0.2903225807)((x) + 0.2903225807) = -4.04474505714 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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