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Simplifying 344 = -16x2 + 96x + 50 Reorder the terms: 344 = 50 + 96x + -16x2 Solving 344 = 50 + 96x + -16x2 Solving for variable 'x'. Combine like terms: 344 + -50 = 294 294 + -96x + 16x2 = 50 + 96x + -16x2 + -50 + -96x + 16x2 Reorder the terms: 294 + -96x + 16x2 = 50 + -50 + 96x + -96x + -16x2 + 16x2 Combine like terms: 50 + -50 = 0 294 + -96x + 16x2 = 0 + 96x + -96x + -16x2 + 16x2 294 + -96x + 16x2 = 96x + -96x + -16x2 + 16x2 Combine like terms: 96x + -96x = 0 294 + -96x + 16x2 = 0 + -16x2 + 16x2 294 + -96x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 294 + -96x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(147 + -48x + 8x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(147 + -48x + 8x2)' equal to zero and attempt to solve: Simplifying 147 + -48x + 8x2 = 0 Solving 147 + -48x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 18.375 + -6x + x2 = 0 Move the constant term to the right: Add '-18.375' to each side of the equation. 18.375 + -6x + -18.375 + x2 = 0 + -18.375 Reorder the terms: 18.375 + -18.375 + -6x + x2 = 0 + -18.375 Combine like terms: 18.375 + -18.375 = 0.000 0.000 + -6x + x2 = 0 + -18.375 -6x + x2 = 0 + -18.375 Combine like terms: 0 + -18.375 = -18.375 -6x + x2 = -18.375 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -18.375 + 9 Reorder the terms: 9 + -6x + x2 = -18.375 + 9 Combine like terms: -18.375 + 9 = -9.375 9 + -6x + x2 = -9.375 Factor a perfect square on the left side: (x + -3)(x + -3) = -9.375 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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