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Simplifying -8x(8x + -2) = 3x + 16 Reorder the terms: -8x(-2 + 8x) = 3x + 16 (-2 * -8x + 8x * -8x) = 3x + 16 (16x + -64x2) = 3x + 16 Reorder the terms: 16x + -64x2 = 16 + 3x Solving 16x + -64x2 = 16 + 3x Solving for variable 'x'. Reorder the terms: -16 + 16x + -3x + -64x2 = 16 + 3x + -16 + -3x Combine like terms: 16x + -3x = 13x -16 + 13x + -64x2 = 16 + 3x + -16 + -3x Reorder the terms: -16 + 13x + -64x2 = 16 + -16 + 3x + -3x Combine like terms: 16 + -16 = 0 -16 + 13x + -64x2 = 0 + 3x + -3x -16 + 13x + -64x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -16 + 13x + -64x2 = 0 Begin completing the square. Divide all terms by -64 the coefficient of the squared term: Divide each side by '-64'. 0.25 + -0.203125x + x2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + -0.203125x + -0.25 + x2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + -0.203125x + x2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -0.203125x + x2 = 0 + -0.25 -0.203125x + x2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 -0.203125x + x2 = -0.25 The x term is -0.203125x. Take half its coefficient (-0.1015625). Square it (0.01031494141) and add it to both sides. Add '0.01031494141' to each side of the equation. -0.203125x + 0.01031494141 + x2 = -0.25 + 0.01031494141 Reorder the terms: 0.01031494141 + -0.203125x + x2 = -0.25 + 0.01031494141 Combine like terms: -0.25 + 0.01031494141 = -0.23968505859 0.01031494141 + -0.203125x + x2 = -0.23968505859 Factor a perfect square on the left side: (x + -0.1015625)(x + -0.1015625) = -0.23968505859 Can't calculate square root of the right side. The solution to this equation could not be determined.
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