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Simplifying (-4.905x2) + 12x + -40 = 0 Reorder the terms: -40 + 12x + (-4.905x2) = 0 Solving -40 + 12x + (-4.905x2) = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -4.905 the coefficient of the squared term: Divide each side by '-4.905'. 8.154943935 + -2.44648318x + x2 = 0 Move the constant term to the right: Add '-8.154943935' to each side of the equation. 8.154943935 + -2.44648318x + -8.154943935 + x2 = 0 + -8.154943935 Reorder the terms: 8.154943935 + -8.154943935 + -2.44648318x + x2 = 0 + -8.154943935 Combine like terms: 8.154943935 + -8.154943935 = 0.000000000 0.000000000 + -2.44648318x + x2 = 0 + -8.154943935 -2.44648318x + x2 = 0 + -8.154943935 Combine like terms: 0 + -8.154943935 = -8.154943935 -2.44648318x + x2 = -8.154943935 The x term is -2.44648318x. Take half its coefficient (-1.22324159). Square it (1.496319988) and add it to both sides. Add '1.496319988' to each side of the equation. -2.44648318x + 1.496319988 + x2 = -8.154943935 + 1.496319988 Reorder the terms: 1.496319988 + -2.44648318x + x2 = -8.154943935 + 1.496319988 Combine like terms: -8.154943935 + 1.496319988 = -6.658623947 1.496319988 + -2.44648318x + x2 = -6.658623947 Factor a perfect square on the left side: ((x) + -1.22324159)((x) + -1.22324159) = -6.658623947 Can't calculate square root of the right side. The solution to this equation could not be determined.
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