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Simplifying 30x + -20x2 = 21 Solving 30x + -20x2 = 21 Solving for variable 'x'. Reorder the terms: -21 + 30x + -20x2 = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + 30x + -20x2 = 0 Begin completing the square. Divide all terms by -20 the coefficient of the squared term: Divide each side by '-20'. 1.05 + -1.5x + x2 = 0 Move the constant term to the right: Add '-1.05' to each side of the equation. 1.05 + -1.5x + -1.05 + x2 = 0 + -1.05 Reorder the terms: 1.05 + -1.05 + -1.5x + x2 = 0 + -1.05 Combine like terms: 1.05 + -1.05 = 0.00 0.00 + -1.5x + x2 = 0 + -1.05 -1.5x + x2 = 0 + -1.05 Combine like terms: 0 + -1.05 = -1.05 -1.5x + x2 = -1.05 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = -1.05 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -1.05 + 0.5625 Combine like terms: -1.05 + 0.5625 = -0.4875 0.5625 + -1.5x + x2 = -0.4875 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -0.4875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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