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Simplifying -16x + 112x2 + 64 = 0 Reorder the terms: 64 + -16x + 112x2 = 0 Solving 64 + -16x + 112x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16'. 16(4 + -1x + 7x2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(4 + -1x + 7x2)' equal to zero and attempt to solve: Simplifying 4 + -1x + 7x2 = 0 Solving 4 + -1x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.5714285714 + -0.1428571429x + x2 = 0 Move the constant term to the right: Add '-0.5714285714' to each side of the equation. 0.5714285714 + -0.1428571429x + -0.5714285714 + x2 = 0 + -0.5714285714 Reorder the terms: 0.5714285714 + -0.5714285714 + -0.1428571429x + x2 = 0 + -0.5714285714 Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000 0.0000000000 + -0.1428571429x + x2 = 0 + -0.5714285714 -0.1428571429x + x2 = 0 + -0.5714285714 Combine like terms: 0 + -0.5714285714 = -0.5714285714 -0.1428571429x + x2 = -0.5714285714 The x term is -0.1428571429x. Take half its coefficient (-0.07142857145). Square it (0.005102040819) and add it to both sides. Add '0.005102040819' to each side of the equation. -0.1428571429x + 0.005102040819 + x2 = -0.5714285714 + 0.005102040819 Reorder the terms: 0.005102040819 + -0.1428571429x + x2 = -0.5714285714 + 0.005102040819 Combine like terms: -0.5714285714 + 0.005102040819 = -0.566326530581 0.005102040819 + -0.1428571429x + x2 = -0.566326530581 Factor a perfect square on the left side: (x + -0.07142857145)(x + -0.07142857145) = -0.566326530581 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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