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Simplifying 2.3x2 + 4.6x + 9 = 5 Reorder the terms: 9 + 4.6x + 2.3x2 = 5 Solving 9 + 4.6x + 2.3x2 = 5 Solving for variable 'x'. Reorder the terms: 9 + -5 + 4.6x + 2.3x2 = 5 + -5 Combine like terms: 9 + -5 = 4 4 + 4.6x + 2.3x2 = 5 + -5 Combine like terms: 5 + -5 = 0 4 + 4.6x + 2.3x2 = 0 Begin completing the square. Divide all terms by 2.3 the coefficient of the squared term: Divide each side by '2.3'. 1.739130435 + 2x + x2 = 0 Move the constant term to the right: Add '-1.739130435' to each side of the equation. 1.739130435 + 2x + -1.739130435 + x2 = 0 + -1.739130435 Reorder the terms: 1.739130435 + -1.739130435 + 2x + x2 = 0 + -1.739130435 Combine like terms: 1.739130435 + -1.739130435 = 0.000000000 0.000000000 + 2x + x2 = 0 + -1.739130435 2x + x2 = 0 + -1.739130435 Combine like terms: 0 + -1.739130435 = -1.739130435 2x + x2 = -1.739130435 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -1.739130435 + 1 Reorder the terms: 1 + 2x + x2 = -1.739130435 + 1 Combine like terms: -1.739130435 + 1 = -0.739130435 1 + 2x + x2 = -0.739130435 Factor a perfect square on the left side: (x + 1)(x + 1) = -0.739130435 Can't calculate square root of the right side. The solution to this equation could not be determined.
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