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Simplifying -3x2 = -7x + 12 Reorder the terms: -3x2 = 12 + -7x Solving -3x2 = 12 + -7x Solving for variable 'x'. Reorder the terms: -12 + 7x + -3x2 = 12 + -7x + -12 + 7x Reorder the terms: -12 + 7x + -3x2 = 12 + -12 + -7x + 7x Combine like terms: 12 + -12 = 0 -12 + 7x + -3x2 = 0 + -7x + 7x -12 + 7x + -3x2 = -7x + 7x Combine like terms: -7x + 7x = 0 -12 + 7x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 4 + -2.333333333x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -2.333333333x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -2.333333333x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2.333333333x + x2 = 0 + -4 -2.333333333x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -2.333333333x + x2 = -4 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 = -4 + 1.361111112 Reorder the terms: 1.361111112 + -2.333333333x + x2 = -4 + 1.361111112 Combine like terms: -4 + 1.361111112 = -2.638888888 1.361111112 + -2.333333333x + x2 = -2.638888888 Factor a perfect square on the left side: (x + -1.166666667)(x + -1.166666667) = -2.638888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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