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Simplifying -16x2 + 7x = 56 Reorder the terms: 7x + -16x2 = 56 Solving 7x + -16x2 = 56 Solving for variable 'x'. Reorder the terms: -56 + 7x + -16x2 = 56 + -56 Combine like terms: 56 + -56 = 0 -56 + 7x + -16x2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 3.5 + -0.4375x + x2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + -0.4375x + -3.5 + x2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + -0.4375x + x2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -0.4375x + x2 = 0 + -3.5 -0.4375x + x2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 -0.4375x + x2 = -3.5 The x term is -0.4375x. Take half its coefficient (-0.21875). Square it (0.0478515625) and add it to both sides. Add '0.0478515625' to each side of the equation. -0.4375x + 0.0478515625 + x2 = -3.5 + 0.0478515625 Reorder the terms: 0.0478515625 + -0.4375x + x2 = -3.5 + 0.0478515625 Combine like terms: -3.5 + 0.0478515625 = -3.4521484375 0.0478515625 + -0.4375x + x2 = -3.4521484375 Factor a perfect square on the left side: (x + -0.21875)(x + -0.21875) = -3.4521484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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