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Simplifying 6x + -16x2 = 1.5 Solving 6x + -16x2 = 1.5 Solving for variable 'x'. Reorder the terms: -1.5 + 6x + -16x2 = 1.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 -1.5 + 6x + -16x2 = 0.0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 0.09375 + -0.375x + x2 = 0.0 Move the constant term to the right: Add '-0.09375' to each side of the equation. 0.09375 + -0.375x + -0.09375 + x2 = 0.0 + -0.09375 Reorder the terms: 0.09375 + -0.09375 + -0.375x + x2 = 0.0 + -0.09375 Combine like terms: 0.09375 + -0.09375 = 0.00000 0.00000 + -0.375x + x2 = 0.0 + -0.09375 -0.375x + x2 = 0.0 + -0.09375 Combine like terms: 0.0 + -0.09375 = -0.09375 -0.375x + x2 = -0.09375 The x term is -0.375x. Take half its coefficient (-0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. -0.375x + 0.03515625 + x2 = -0.09375 + 0.03515625 Reorder the terms: 0.03515625 + -0.375x + x2 = -0.09375 + 0.03515625 Combine like terms: -0.09375 + 0.03515625 = -0.05859375 0.03515625 + -0.375x + x2 = -0.05859375 Factor a perfect square on the left side: (x + -0.1875)(x + -0.1875) = -0.05859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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