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Simplifying x = 16x2 + 64x + 960 Reorder the terms: x = 960 + 64x + 16x2 Solving x = 960 + 64x + 16x2 Solving for variable 'x'. Reorder the terms: -960 + x + -64x + -16x2 = 960 + 64x + 16x2 + -960 + -64x + -16x2 Combine like terms: x + -64x = -63x -960 + -63x + -16x2 = 960 + 64x + 16x2 + -960 + -64x + -16x2 Reorder the terms: -960 + -63x + -16x2 = 960 + -960 + 64x + -64x + 16x2 + -16x2 Combine like terms: 960 + -960 = 0 -960 + -63x + -16x2 = 0 + 64x + -64x + 16x2 + -16x2 -960 + -63x + -16x2 = 64x + -64x + 16x2 + -16x2 Combine like terms: 64x + -64x = 0 -960 + -63x + -16x2 = 0 + 16x2 + -16x2 -960 + -63x + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 -960 + -63x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(960 + 63x + 16x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(960 + 63x + 16x2)' equal to zero and attempt to solve: Simplifying 960 + 63x + 16x2 = 0 Solving 960 + 63x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 60 + 3.9375x + x2 = 0 Move the constant term to the right: Add '-60' to each side of the equation. 60 + 3.9375x + -60 + x2 = 0 + -60 Reorder the terms: 60 + -60 + 3.9375x + x2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 3.9375x + x2 = 0 + -60 3.9375x + x2 = 0 + -60 Combine like terms: 0 + -60 = -60 3.9375x + x2 = -60 The x term is 3.9375x. Take half its coefficient (1.96875). Square it (3.875976563) and add it to both sides. Add '3.875976563' to each side of the equation. 3.9375x + 3.875976563 + x2 = -60 + 3.875976563 Reorder the terms: 3.875976563 + 3.9375x + x2 = -60 + 3.875976563 Combine like terms: -60 + 3.875976563 = -56.124023437 3.875976563 + 3.9375x + x2 = -56.124023437 Factor a perfect square on the left side: (x + 1.96875)(x + 1.96875) = -56.124023437 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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