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Simplifying 7x2 = 15x + -21 Reorder the terms: 7x2 = -21 + 15x Solving 7x2 = -21 + 15x Solving for variable 'x'. Reorder the terms: 21 + -15x + 7x2 = -21 + 15x + 21 + -15x Reorder the terms: 21 + -15x + 7x2 = -21 + 21 + 15x + -15x Combine like terms: -21 + 21 = 0 21 + -15x + 7x2 = 0 + 15x + -15x 21 + -15x + 7x2 = 15x + -15x Combine like terms: 15x + -15x = 0 21 + -15x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 3 + -2.142857143x + x2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -2.142857143x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + -2.142857143x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2.142857143x + x2 = 0 + -3 -2.142857143x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2.142857143x + x2 = -3 The x term is -2.142857143x. Take half its coefficient (-1.071428572). Square it (1.147959185) and add it to both sides. Add '1.147959185' to each side of the equation. -2.142857143x + 1.147959185 + x2 = -3 + 1.147959185 Reorder the terms: 1.147959185 + -2.142857143x + x2 = -3 + 1.147959185 Combine like terms: -3 + 1.147959185 = -1.852040815 1.147959185 + -2.142857143x + x2 = -1.852040815 Factor a perfect square on the left side: (x + -1.071428572)(x + -1.071428572) = -1.852040815 Can't calculate square root of the right side. The solution to this equation could not be determined.
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