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Simplifying 192 + -84x + 16x2 = 0 Solving 192 + -84x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(48 + -21x + 4x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(48 + -21x + 4x2)' equal to zero and attempt to solve: Simplifying 48 + -21x + 4x2 = 0 Solving 48 + -21x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 12 + -5.25x + x2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -5.25x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + -5.25x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5.25x + x2 = 0 + -12 -5.25x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -5.25x + x2 = -12 The x term is -5.25x. Take half its coefficient (-2.625). Square it (6.890625) and add it to both sides. Add '6.890625' to each side of the equation. -5.25x + 6.890625 + x2 = -12 + 6.890625 Reorder the terms: 6.890625 + -5.25x + x2 = -12 + 6.890625 Combine like terms: -12 + 6.890625 = -5.109375 6.890625 + -5.25x + x2 = -5.109375 Factor a perfect square on the left side: (x + -2.625)(x + -2.625) = -5.109375 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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