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Simplifying x2 + 6x + -3 = 5x + -9 Reorder the terms: -3 + 6x + x2 = 5x + -9 Reorder the terms: -3 + 6x + x2 = -9 + 5x Solving -3 + 6x + x2 = -9 + 5x Solving for variable 'x'. Reorder the terms: -3 + 9 + 6x + -5x + x2 = -9 + 5x + 9 + -5x Combine like terms: -3 + 9 = 6 6 + 6x + -5x + x2 = -9 + 5x + 9 + -5x Combine like terms: 6x + -5x = 1x 6 + 1x + x2 = -9 + 5x + 9 + -5x Reorder the terms: 6 + 1x + x2 = -9 + 9 + 5x + -5x Combine like terms: -9 + 9 = 0 6 + 1x + x2 = 0 + 5x + -5x 6 + 1x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 6 + 1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + 1x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + 1x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 1x + x2 = 0 + -6 1x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 1x + x2 = -6 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. x + 0.25 + x2 = -6 + 0.25 Reorder the terms: 0.25 + x + x2 = -6 + 0.25 Combine like terms: -6 + 0.25 = -5.75 0.25 + x + x2 = -5.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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