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Simplifying -16x2 + 20x + 3 = 10 Reorder the terms: 3 + 20x + -16x2 = 10 Solving 3 + 20x + -16x2 = 10 Solving for variable 'x'. Reorder the terms: 3 + -10 + 20x + -16x2 = 10 + -10 Combine like terms: 3 + -10 = -7 -7 + 20x + -16x2 = 10 + -10 Combine like terms: 10 + -10 = 0 -7 + 20x + -16x2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 0.4375 + -1.25x + x2 = 0 Move the constant term to the right: Add '-0.4375' to each side of the equation. 0.4375 + -1.25x + -0.4375 + x2 = 0 + -0.4375 Reorder the terms: 0.4375 + -0.4375 + -1.25x + x2 = 0 + -0.4375 Combine like terms: 0.4375 + -0.4375 = 0.0000 0.0000 + -1.25x + x2 = 0 + -0.4375 -1.25x + x2 = 0 + -0.4375 Combine like terms: 0 + -0.4375 = -0.4375 -1.25x + x2 = -0.4375 The x term is -1.25x. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25x + 0.390625 + x2 = -0.4375 + 0.390625 Reorder the terms: 0.390625 + -1.25x + x2 = -0.4375 + 0.390625 Combine like terms: -0.4375 + 0.390625 = -0.046875 0.390625 + -1.25x + x2 = -0.046875 Factor a perfect square on the left side: (x + -0.625)(x + -0.625) = -0.046875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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