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Simplifying 3x2 = 7(x + -3) Reorder the terms: 3x2 = 7(-3 + x) 3x2 = (-3 * 7 + x * 7) 3x2 = (-21 + 7x) Solving 3x2 = -21 + 7x Solving for variable 'x'. Reorder the terms: 21 + -7x + 3x2 = -21 + 7x + 21 + -7x Reorder the terms: 21 + -7x + 3x2 = -21 + 21 + 7x + -7x Combine like terms: -21 + 21 = 0 21 + -7x + 3x2 = 0 + 7x + -7x 21 + -7x + 3x2 = 7x + -7x Combine like terms: 7x + -7x = 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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