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Simplifying 9x2 + 32 + -5 = 4x2 + 8x Reorder the terms: 32 + -5 + 9x2 = 4x2 + 8x Combine like terms: 32 + -5 = 27 27 + 9x2 = 4x2 + 8x Reorder the terms: 27 + 9x2 = 8x + 4x2 Solving 27 + 9x2 = 8x + 4x2 Solving for variable 'x'. Reorder the terms: 27 + -8x + 9x2 + -4x2 = 8x + 4x2 + -8x + -4x2 Combine like terms: 9x2 + -4x2 = 5x2 27 + -8x + 5x2 = 8x + 4x2 + -8x + -4x2 Reorder the terms: 27 + -8x + 5x2 = 8x + -8x + 4x2 + -4x2 Combine like terms: 8x + -8x = 0 27 + -8x + 5x2 = 0 + 4x2 + -4x2 27 + -8x + 5x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 27 + -8x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 5.4 + -1.6x + x2 = 0 Move the constant term to the right: Add '-5.4' to each side of the equation. 5.4 + -1.6x + -5.4 + x2 = 0 + -5.4 Reorder the terms: 5.4 + -5.4 + -1.6x + x2 = 0 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -1.6x + x2 = 0 + -5.4 -1.6x + x2 = 0 + -5.4 Combine like terms: 0 + -5.4 = -5.4 -1.6x + x2 = -5.4 The x term is -1.6x. Take half its coefficient (-0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. -1.6x + 0.64 + x2 = -5.4 + 0.64 Reorder the terms: 0.64 + -1.6x + x2 = -5.4 + 0.64 Combine like terms: -5.4 + 0.64 = -4.76 0.64 + -1.6x + x2 = -4.76 Factor a perfect square on the left side: (x + -0.8)(x + -0.8) = -4.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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