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Simplifying 3x2 = -7x + -7 Reorder the terms: 3x2 = -7 + -7x Solving 3x2 = -7 + -7x Solving for variable 'x'. Reorder the terms: 7 + 7x + 3x2 = -7 + -7x + 7 + 7x Reorder the terms: 7 + 7x + 3x2 = -7 + 7 + -7x + 7x Combine like terms: -7 + 7 = 0 7 + 7x + 3x2 = 0 + -7x + 7x 7 + 7x + 3x2 = -7x + 7x Combine like terms: -7x + 7x = 0 7 + 7x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 2.333333333 + 2.333333333x + x2 = 0 Move the constant term to the right: Add '-2.333333333' to each side of the equation. 2.333333333 + 2.333333333x + -2.333333333 + x2 = 0 + -2.333333333 Reorder the terms: 2.333333333 + -2.333333333 + 2.333333333x + x2 = 0 + -2.333333333 Combine like terms: 2.333333333 + -2.333333333 = 0.000000000 0.000000000 + 2.333333333x + x2 = 0 + -2.333333333 2.333333333x + x2 = 0 + -2.333333333 Combine like terms: 0 + -2.333333333 = -2.333333333 2.333333333x + x2 = -2.333333333 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 = -2.333333333 + 1.361111112 Reorder the terms: 1.361111112 + 2.333333333x + x2 = -2.333333333 + 1.361111112 Combine like terms: -2.333333333 + 1.361111112 = -0.972222221 1.361111112 + 2.333333333x + x2 = -0.972222221 Factor a perfect square on the left side: (x + 1.166666667)(x + 1.166666667) = -0.972222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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