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Simplifying 49x2 + -14x + 840 = 0 Reorder the terms: 840 + -14x + 49x2 = 0 Solving 840 + -14x + 49x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7'. 7(120 + -2x + 7x2) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(120 + -2x + 7x2)' equal to zero and attempt to solve: Simplifying 120 + -2x + 7x2 = 0 Solving 120 + -2x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 17.14285714 + -0.2857142857x + x2 = 0 Move the constant term to the right: Add '-17.14285714' to each side of the equation. 17.14285714 + -0.2857142857x + -17.14285714 + x2 = 0 + -17.14285714 Reorder the terms: 17.14285714 + -17.14285714 + -0.2857142857x + x2 = 0 + -17.14285714 Combine like terms: 17.14285714 + -17.14285714 = 0.00000000 0.00000000 + -0.2857142857x + x2 = 0 + -17.14285714 -0.2857142857x + x2 = 0 + -17.14285714 Combine like terms: 0 + -17.14285714 = -17.14285714 -0.2857142857x + x2 = -17.14285714 The x term is -0.2857142857x. Take half its coefficient (-0.1428571429). Square it (0.02040816328) and add it to both sides. Add '0.02040816328' to each side of the equation. -0.2857142857x + 0.02040816328 + x2 = -17.14285714 + 0.02040816328 Reorder the terms: 0.02040816328 + -0.2857142857x + x2 = -17.14285714 + 0.02040816328 Combine like terms: -17.14285714 + 0.02040816328 = -17.12244897672 0.02040816328 + -0.2857142857x + x2 = -17.12244897672 Factor a perfect square on the left side: (x + -0.1428571429)(x + -0.1428571429) = -17.12244897672 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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