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Simplifying x(-3x + 7) = 21 Reorder the terms: x(7 + -3x) = 21 (7 * x + -3x * x) = 21 (7x + -3x2) = 21 Solving 7x + -3x2 = 21 Solving for variable 'x'. Reorder the terms: -21 + 7x + -3x2 = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + 7x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 7 + -2.333333333x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -2.333333333x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -2.333333333x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2.333333333x + x2 = 0 + -7 -2.333333333x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -2.333333333x + x2 = -7 The x term is -2.333333333x. Take half its coefficient (-1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. -2.333333333x + 1.361111112 + x2 = -7 + 1.361111112 Reorder the terms: 1.361111112 + -2.333333333x + x2 = -7 + 1.361111112 Combine like terms: -7 + 1.361111112 = -5.638888888 1.361111112 + -2.333333333x + x2 = -5.638888888 Factor a perfect square on the left side: (x + -1.166666667)(x + -1.166666667) = -5.638888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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