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Simplifying 0 = -5x2 + 4x + -120 Reorder the terms: 0 = -120 + 4x + -5x2 Solving 0 = -120 + 4x + -5x2 Solving for variable 'x'. Combine like terms: 0 + 120 = 120 120 + -4x + 5x2 = -120 + 4x + -5x2 + 120 + -4x + 5x2 Reorder the terms: 120 + -4x + 5x2 = -120 + 120 + 4x + -4x + -5x2 + 5x2 Combine like terms: -120 + 120 = 0 120 + -4x + 5x2 = 0 + 4x + -4x + -5x2 + 5x2 120 + -4x + 5x2 = 4x + -4x + -5x2 + 5x2 Combine like terms: 4x + -4x = 0 120 + -4x + 5x2 = 0 + -5x2 + 5x2 120 + -4x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 120 + -4x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 24 + -0.8x + x2 = 0 Move the constant term to the right: Add '-24' to each side of the equation. 24 + -0.8x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + -0.8x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -0.8x + x2 = 0 + -24 -0.8x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 -0.8x + x2 = -24 The x term is -0.8x. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8x + 0.16 + x2 = -24 + 0.16 Reorder the terms: 0.16 + -0.8x + x2 = -24 + 0.16 Combine like terms: -24 + 0.16 = -23.84 0.16 + -0.8x + x2 = -23.84 Factor a perfect square on the left side: (x + -0.4)(x + -0.4) = -23.84 Can't calculate square root of the right side. The solution to this equation could not be determined.
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