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Simplifying -16x2 + 10x = 775 Reorder the terms: 10x + -16x2 = 775 Solving 10x + -16x2 = 775 Solving for variable 'x'. Reorder the terms: -775 + 10x + -16x2 = 775 + -775 Combine like terms: 775 + -775 = 0 -775 + 10x + -16x2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 48.4375 + -0.625x + x2 = 0 Move the constant term to the right: Add '-48.4375' to each side of the equation. 48.4375 + -0.625x + -48.4375 + x2 = 0 + -48.4375 Reorder the terms: 48.4375 + -48.4375 + -0.625x + x2 = 0 + -48.4375 Combine like terms: 48.4375 + -48.4375 = 0.0000 0.0000 + -0.625x + x2 = 0 + -48.4375 -0.625x + x2 = 0 + -48.4375 Combine like terms: 0 + -48.4375 = -48.4375 -0.625x + x2 = -48.4375 The x term is -0.625x. Take half its coefficient (-0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. -0.625x + 0.09765625 + x2 = -48.4375 + 0.09765625 Reorder the terms: 0.09765625 + -0.625x + x2 = -48.4375 + 0.09765625 Combine like terms: -48.4375 + 0.09765625 = -48.33984375 0.09765625 + -0.625x + x2 = -48.33984375 Factor a perfect square on the left side: (x + -0.3125)(x + -0.3125) = -48.33984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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