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Simplifying 56x2 + -18x + 2 = 0 Reorder the terms: 2 + -18x + 56x2 = 0 Solving 2 + -18x + 56x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -9x + 28x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -9x + 28x2)' equal to zero and attempt to solve: Simplifying 1 + -9x + 28x2 = 0 Solving 1 + -9x + 28x2 = 0 Begin completing the square. Divide all terms by 28 the coefficient of the squared term: Divide each side by '28'. 0.03571428571 + -0.3214285714x + x2 = 0 Move the constant term to the right: Add '-0.03571428571' to each side of the equation. 0.03571428571 + -0.3214285714x + -0.03571428571 + x2 = 0 + -0.03571428571 Reorder the terms: 0.03571428571 + -0.03571428571 + -0.3214285714x + x2 = 0 + -0.03571428571 Combine like terms: 0.03571428571 + -0.03571428571 = 0.00000000000 0.00000000000 + -0.3214285714x + x2 = 0 + -0.03571428571 -0.3214285714x + x2 = 0 + -0.03571428571 Combine like terms: 0 + -0.03571428571 = -0.03571428571 -0.3214285714x + x2 = -0.03571428571 The x term is -0.3214285714x. Take half its coefficient (-0.1607142857). Square it (0.02582908163) and add it to both sides. Add '0.02582908163' to each side of the equation. -0.3214285714x + 0.02582908163 + x2 = -0.03571428571 + 0.02582908163 Reorder the terms: 0.02582908163 + -0.3214285714x + x2 = -0.03571428571 + 0.02582908163 Combine like terms: -0.03571428571 + 0.02582908163 = -0.00988520408 0.02582908163 + -0.3214285714x + x2 = -0.00988520408 Factor a perfect square on the left side: (x + -0.1607142857)(x + -0.1607142857) = -0.00988520408 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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