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Simplifying 8x = 5x2 + 75 Reorder the terms: 8x = 75 + 5x2 Solving 8x = 75 + 5x2 Solving for variable 'x'. Reorder the terms: -75 + 8x + -5x2 = 75 + 5x2 + -75 + -5x2 Reorder the terms: -75 + 8x + -5x2 = 75 + -75 + 5x2 + -5x2 Combine like terms: 75 + -75 = 0 -75 + 8x + -5x2 = 0 + 5x2 + -5x2 -75 + 8x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -75 + 8x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 15 + -1.6x + x2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + -1.6x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + -1.6x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1.6x + x2 = 0 + -15 -1.6x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -1.6x + x2 = -15 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 = -15 + 0.64 Reorder the terms: 0.64 + -1.6x + x2 = -15 + 0.64 Combine like terms: -15 + 0.64 = -14.36 0.64 + -1.6x + x2 = -14.36 Factor a perfect square on the left side: (x + -0.8)(x + -0.8) = -14.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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