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Simplifying 23x2 + -23x + 40 = 0 Reorder the terms: 40 + -23x + 23x2 = 0 Solving 40 + -23x + 23x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 23 the coefficient of the squared term: Divide each side by '23'. 1.739130435 + -1x + x2 = 0 Move the constant term to the right: Add '-1.739130435' to each side of the equation. 1.739130435 + -1x + -1.739130435 + x2 = 0 + -1.739130435 Reorder the terms: 1.739130435 + -1.739130435 + -1x + x2 = 0 + -1.739130435 Combine like terms: 1.739130435 + -1.739130435 = 0.000000000 0.000000000 + -1x + x2 = 0 + -1.739130435 -1x + x2 = 0 + -1.739130435 Combine like terms: 0 + -1.739130435 = -1.739130435 -1x + x2 = -1.739130435 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -1.739130435 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -1.739130435 + 0.25 Combine like terms: -1.739130435 + 0.25 = -1.489130435 0.25 + -1x + x2 = -1.489130435 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -1.489130435 Can't calculate square root of the right side. The solution to this equation could not be determined.
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