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Simplifying 40x2 + -53x = -30 Reorder the terms: -53x + 40x2 = -30 Solving -53x + 40x2 = -30 Solving for variable 'x'. Reorder the terms: 30 + -53x + 40x2 = -30 + 30 Combine like terms: -30 + 30 = 0 30 + -53x + 40x2 = 0 Begin completing the square. Divide all terms by 40 the coefficient of the squared term: Divide each side by '40'. 0.75 + -1.325x + x2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + -1.325x + -0.75 + x2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + -1.325x + x2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -1.325x + x2 = 0 + -0.75 -1.325x + x2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 -1.325x + x2 = -0.75 The x term is -1.325x. Take half its coefficient (-0.6625). Square it (0.43890625) and add it to both sides. Add '0.43890625' to each side of the equation. -1.325x + 0.43890625 + x2 = -0.75 + 0.43890625 Reorder the terms: 0.43890625 + -1.325x + x2 = -0.75 + 0.43890625 Combine like terms: -0.75 + 0.43890625 = -0.31109375 0.43890625 + -1.325x + x2 = -0.31109375 Factor a perfect square on the left side: (x + -0.6625)(x + -0.6625) = -0.31109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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