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Simplifying -4x2 + -16 = x2 + -1x Reorder the terms: -16 + -4x2 = x2 + -1x Reorder the terms: -16 + -4x2 = -1x + x2 Solving -16 + -4x2 = -1x + x2 Solving for variable 'x'. Reorder the terms: -16 + x + -4x2 + -1x2 = -1x + x2 + x + -1x2 Combine like terms: -4x2 + -1x2 = -5x2 -16 + x + -5x2 = -1x + x2 + x + -1x2 Reorder the terms: -16 + x + -5x2 = -1x + x + x2 + -1x2 Combine like terms: -1x + x = 0 -16 + x + -5x2 = 0 + x2 + -1x2 -16 + x + -5x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -16 + x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 3.2 + -0.2x + x2 = 0 Move the constant term to the right: Add '-3.2' to each side of the equation. 3.2 + -0.2x + -3.2 + x2 = 0 + -3.2 Reorder the terms: 3.2 + -3.2 + -0.2x + x2 = 0 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -0.2x + x2 = 0 + -3.2 -0.2x + x2 = 0 + -3.2 Combine like terms: 0 + -3.2 = -3.2 -0.2x + x2 = -3.2 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.2x + 0.25 + x2 = -3.2 + 0.25 Reorder the terms: 0.25 + -0.2x + x2 = -3.2 + 0.25 Combine like terms: -3.2 + 0.25 = -2.95 0.25 + -0.2x + x2 = -2.95 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -2.95 Can't calculate square root of the right side. The solution to this equation could not be determined.
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