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Simplifying 50 = 48x + -16x2 Solving 50 = 48x + -16x2 Solving for variable 'x'. Reorder the terms: 50 + -48x + 16x2 = 48x + -48x + -16x2 + 16x2 Combine like terms: 48x + -48x = 0 50 + -48x + 16x2 = 0 + -16x2 + 16x2 50 + -48x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 50 + -48x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(25 + -24x + 8x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(25 + -24x + 8x2)' equal to zero and attempt to solve: Simplifying 25 + -24x + 8x2 = 0 Solving 25 + -24x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 3.125 + -3x + x2 = 0 Move the constant term to the right: Add '-3.125' to each side of the equation. 3.125 + -3x + -3.125 + x2 = 0 + -3.125 Reorder the terms: 3.125 + -3.125 + -3x + x2 = 0 + -3.125 Combine like terms: 3.125 + -3.125 = 0.000 0.000 + -3x + x2 = 0 + -3.125 -3x + x2 = 0 + -3.125 Combine like terms: 0 + -3.125 = -3.125 -3x + x2 = -3.125 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -3.125 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -3.125 + 2.25 Combine like terms: -3.125 + 2.25 = -0.875 2.25 + -3x + x2 = -0.875 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -0.875 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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