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Simplifying 49x2 + 196x + 1379 = 0 Reorder the terms: 1379 + 196x + 49x2 = 0 Solving 1379 + 196x + 49x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7'. 7(197 + 28x + 7x2) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(197 + 28x + 7x2)' equal to zero and attempt to solve: Simplifying 197 + 28x + 7x2 = 0 Solving 197 + 28x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 28.14285714 + 4x + x2 = 0 Move the constant term to the right: Add '-28.14285714' to each side of the equation. 28.14285714 + 4x + -28.14285714 + x2 = 0 + -28.14285714 Reorder the terms: 28.14285714 + -28.14285714 + 4x + x2 = 0 + -28.14285714 Combine like terms: 28.14285714 + -28.14285714 = 0.00000000 0.00000000 + 4x + x2 = 0 + -28.14285714 4x + x2 = 0 + -28.14285714 Combine like terms: 0 + -28.14285714 = -28.14285714 4x + x2 = -28.14285714 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -28.14285714 + 4 Reorder the terms: 4 + 4x + x2 = -28.14285714 + 4 Combine like terms: -28.14285714 + 4 = -24.14285714 4 + 4x + x2 = -24.14285714 Factor a perfect square on the left side: (x + 2)(x + 2) = -24.14285714 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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