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Simplifying -16x2 + 320x + 32 = 4832 Reorder the terms: 32 + 320x + -16x2 = 4832 Solving 32 + 320x + -16x2 = 4832 Solving for variable 'x'. Reorder the terms: 32 + -4832 + 320x + -16x2 = 4832 + -4832 Combine like terms: 32 + -4832 = -4800 -4800 + 320x + -16x2 = 4832 + -4832 Combine like terms: 4832 + -4832 = 0 -4800 + 320x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(-300 + 20x + -1x2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(-300 + 20x + -1x2)' equal to zero and attempt to solve: Simplifying -300 + 20x + -1x2 = 0 Solving -300 + 20x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 300 + -20x + x2 = 0 Move the constant term to the right: Add '-300' to each side of the equation. 300 + -20x + -300 + x2 = 0 + -300 Reorder the terms: 300 + -300 + -20x + x2 = 0 + -300 Combine like terms: 300 + -300 = 0 0 + -20x + x2 = 0 + -300 -20x + x2 = 0 + -300 Combine like terms: 0 + -300 = -300 -20x + x2 = -300 The x term is -20x. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x + 100 + x2 = -300 + 100 Reorder the terms: 100 + -20x + x2 = -300 + 100 Combine like terms: -300 + 100 = -200 100 + -20x + x2 = -200 Factor a perfect square on the left side: (x + -10)(x + -10) = -200 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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