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Simplifying 5x2 + -4x + 75 = 0 Reorder the terms: 75 + -4x + 5x2 = 0 Solving 75 + -4x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 15 + -0.8x + x2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + -0.8x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + -0.8x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -0.8x + x2 = 0 + -15 -0.8x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -0.8x + x2 = -15 The x term is -0.8x. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8x + 0.16 + x2 = -15 + 0.16 Reorder the terms: 0.16 + -0.8x + x2 = -15 + 0.16 Combine like terms: -15 + 0.16 = -14.84 0.16 + -0.8x + x2 = -14.84 Factor a perfect square on the left side: (x + -0.4)(x + -0.4) = -14.84 Can't calculate square root of the right side. The solution to this equation could not be determined.
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