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Simplifying 0 = 9 + -13x + 10x2 Solving 0 = 9 + -13x + 10x2 Solving for variable 'x'. Combine like terms: 0 + -9 = -9 -9 + 13x + -10x2 = 9 + -13x + 10x2 + -9 + 13x + -10x2 Reorder the terms: -9 + 13x + -10x2 = 9 + -9 + -13x + 13x + 10x2 + -10x2 Combine like terms: 9 + -9 = 0 -9 + 13x + -10x2 = 0 + -13x + 13x + 10x2 + -10x2 -9 + 13x + -10x2 = -13x + 13x + 10x2 + -10x2 Combine like terms: -13x + 13x = 0 -9 + 13x + -10x2 = 0 + 10x2 + -10x2 -9 + 13x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -9 + 13x + -10x2 = 0 Begin completing the square. Divide all terms by -10 the coefficient of the squared term: Divide each side by '-10'. 0.9 + -1.3x + x2 = 0 Move the constant term to the right: Add '-0.9' to each side of the equation. 0.9 + -1.3x + -0.9 + x2 = 0 + -0.9 Reorder the terms: 0.9 + -0.9 + -1.3x + x2 = 0 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -1.3x + x2 = 0 + -0.9 -1.3x + x2 = 0 + -0.9 Combine like terms: 0 + -0.9 = -0.9 -1.3x + x2 = -0.9 The x term is -1.3x. Take half its coefficient (-0.65). Square it (0.4225) and add it to both sides. Add '0.4225' to each side of the equation. -1.3x + 0.4225 + x2 = -0.9 + 0.4225 Reorder the terms: 0.4225 + -1.3x + x2 = -0.9 + 0.4225 Combine like terms: -0.9 + 0.4225 = -0.4775 0.4225 + -1.3x + x2 = -0.4775 Factor a perfect square on the left side: (x + -0.65)(x + -0.65) = -0.4775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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