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Simplifying 20x2 + -7x + 24 = 8x + -30x2 Reorder the terms: 24 + -7x + 20x2 = 8x + -30x2 Solving 24 + -7x + 20x2 = 8x + -30x2 Solving for variable 'x'. Reorder the terms: 24 + -7x + -8x + 20x2 + 30x2 = 8x + -30x2 + -8x + 30x2 Combine like terms: -7x + -8x = -15x 24 + -15x + 20x2 + 30x2 = 8x + -30x2 + -8x + 30x2 Combine like terms: 20x2 + 30x2 = 50x2 24 + -15x + 50x2 = 8x + -30x2 + -8x + 30x2 Reorder the terms: 24 + -15x + 50x2 = 8x + -8x + -30x2 + 30x2 Combine like terms: 8x + -8x = 0 24 + -15x + 50x2 = 0 + -30x2 + 30x2 24 + -15x + 50x2 = -30x2 + 30x2 Combine like terms: -30x2 + 30x2 = 0 24 + -15x + 50x2 = 0 Begin completing the square. Divide all terms by 50 the coefficient of the squared term: Divide each side by '50'. 0.48 + -0.3x + x2 = 0.0 Move the constant term to the right: Add '-0.48' to each side of the equation. 0.48 + -0.3x + -0.48 + x2 = 0.0 + -0.48 Reorder the terms: 0.48 + -0.48 + -0.3x + x2 = 0.0 + -0.48 Combine like terms: 0.48 + -0.48 = 0.00 0.00 + -0.3x + x2 = 0.0 + -0.48 -0.3x + x2 = 0.0 + -0.48 Combine like terms: 0.0 + -0.48 = -0.48 -0.3x + x2 = -0.48 The x term is -0.3x. Take half its coefficient (-0.15). Square it (0.0225) and add it to both sides. Add '0.0225' to each side of the equation. -0.3x + 0.0225 + x2 = -0.48 + 0.0225 Reorder the terms: 0.0225 + -0.3x + x2 = -0.48 + 0.0225 Combine like terms: -0.48 + 0.0225 = -0.4575 0.0225 + -0.3x + x2 = -0.4575 Factor a perfect square on the left side: (x + -0.15)(x + -0.15) = -0.4575 Can't calculate square root of the right side. The solution to this equation could not be determined.
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