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Simplifying 7x2 + 5x + -17 = -47 + -43 Reorder the terms: -17 + 5x + 7x2 = -47 + -43 Combine like terms: -47 + -43 = -90 -17 + 5x + 7x2 = -90 Solving -17 + 5x + 7x2 = -90 Solving for variable 'x'. Reorder the terms: -17 + 90 + 5x + 7x2 = -90 + 90 Combine like terms: -17 + 90 = 73 73 + 5x + 7x2 = -90 + 90 Combine like terms: -90 + 90 = 0 73 + 5x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 10.42857143 + 0.7142857143x + x2 = 0 Move the constant term to the right: Add '-10.42857143' to each side of the equation. 10.42857143 + 0.7142857143x + -10.42857143 + x2 = 0 + -10.42857143 Reorder the terms: 10.42857143 + -10.42857143 + 0.7142857143x + x2 = 0 + -10.42857143 Combine like terms: 10.42857143 + -10.42857143 = 0.00000000 0.00000000 + 0.7142857143x + x2 = 0 + -10.42857143 0.7142857143x + x2 = 0 + -10.42857143 Combine like terms: 0 + -10.42857143 = -10.42857143 0.7142857143x + x2 = -10.42857143 The x term is 0.7142857143x. Take half its coefficient (0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. 0.7142857143x + 0.1275510204 + x2 = -10.42857143 + 0.1275510204 Reorder the terms: 0.1275510204 + 0.7142857143x + x2 = -10.42857143 + 0.1275510204 Combine like terms: -10.42857143 + 0.1275510204 = -10.3010204096 0.1275510204 + 0.7142857143x + x2 = -10.3010204096 Factor a perfect square on the left side: (x + 0.3571428572)(x + 0.3571428572) = -10.3010204096 Can't calculate square root of the right side. The solution to this equation could not be determined.
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