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Simplifying 528 = -16x2 + 64x + 200 Reorder the terms: 528 = 200 + 64x + -16x2 Solving 528 = 200 + 64x + -16x2 Solving for variable 'x'. Combine like terms: 528 + -200 = 328 328 + -64x + 16x2 = 200 + 64x + -16x2 + -200 + -64x + 16x2 Reorder the terms: 328 + -64x + 16x2 = 200 + -200 + 64x + -64x + -16x2 + 16x2 Combine like terms: 200 + -200 = 0 328 + -64x + 16x2 = 0 + 64x + -64x + -16x2 + 16x2 328 + -64x + 16x2 = 64x + -64x + -16x2 + 16x2 Combine like terms: 64x + -64x = 0 328 + -64x + 16x2 = 0 + -16x2 + 16x2 328 + -64x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 328 + -64x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(41 + -8x + 2x2) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(41 + -8x + 2x2)' equal to zero and attempt to solve: Simplifying 41 + -8x + 2x2 = 0 Solving 41 + -8x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 20.5 + -4x + x2 = 0 Move the constant term to the right: Add '-20.5' to each side of the equation. 20.5 + -4x + -20.5 + x2 = 0 + -20.5 Reorder the terms: 20.5 + -20.5 + -4x + x2 = 0 + -20.5 Combine like terms: 20.5 + -20.5 = 0.0 0.0 + -4x + x2 = 0 + -20.5 -4x + x2 = 0 + -20.5 Combine like terms: 0 + -20.5 = -20.5 -4x + x2 = -20.5 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -20.5 + 4 Reorder the terms: 4 + -4x + x2 = -20.5 + 4 Combine like terms: -20.5 + 4 = -16.5 4 + -4x + x2 = -16.5 Factor a perfect square on the left side: (x + -2)(x + -2) = -16.5 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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