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Simplifying 40x2 + -56x + 736 = 0 Reorder the terms: 736 + -56x + 40x2 = 0 Solving 736 + -56x + 40x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(92 + -7x + 5x2) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(92 + -7x + 5x2)' equal to zero and attempt to solve: Simplifying 92 + -7x + 5x2 = 0 Solving 92 + -7x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 18.4 + -1.4x + x2 = 0 Move the constant term to the right: Add '-18.4' to each side of the equation. 18.4 + -1.4x + -18.4 + x2 = 0 + -18.4 Reorder the terms: 18.4 + -18.4 + -1.4x + x2 = 0 + -18.4 Combine like terms: 18.4 + -18.4 = 0.0 0.0 + -1.4x + x2 = 0 + -18.4 -1.4x + x2 = 0 + -18.4 Combine like terms: 0 + -18.4 = -18.4 -1.4x + x2 = -18.4 The x term is -1.4x. Take half its coefficient (-0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. -1.4x + 0.49 + x2 = -18.4 + 0.49 Reorder the terms: 0.49 + -1.4x + x2 = -18.4 + 0.49 Combine like terms: -18.4 + 0.49 = -17.91 0.49 + -1.4x + x2 = -17.91 Factor a perfect square on the left side: (x + -0.7)(x + -0.7) = -17.91 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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