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Simplifying 98 = -16x2 + 56x Reorder the terms: 98 = 56x + -16x2 Solving 98 = 56x + -16x2 Solving for variable 'x'. Reorder the terms: 98 + -56x + 16x2 = 56x + -56x + -16x2 + 16x2 Combine like terms: 56x + -56x = 0 98 + -56x + 16x2 = 0 + -16x2 + 16x2 98 + -56x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 98 + -56x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(49 + -28x + 8x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(49 + -28x + 8x2)' equal to zero and attempt to solve: Simplifying 49 + -28x + 8x2 = 0 Solving 49 + -28x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 6.125 + -3.5x + x2 = 0 Move the constant term to the right: Add '-6.125' to each side of the equation. 6.125 + -3.5x + -6.125 + x2 = 0 + -6.125 Reorder the terms: 6.125 + -6.125 + -3.5x + x2 = 0 + -6.125 Combine like terms: 6.125 + -6.125 = 0.000 0.000 + -3.5x + x2 = 0 + -6.125 -3.5x + x2 = 0 + -6.125 Combine like terms: 0 + -6.125 = -6.125 -3.5x + x2 = -6.125 The x term is -3.5x. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5x + 3.0625 + x2 = -6.125 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -6.125 + 3.0625 Combine like terms: -6.125 + 3.0625 = -3.0625 3.0625 + -3.5x + x2 = -3.0625 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = -3.0625 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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