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Simplifying 3x2 + 7 = -5x Reorder the terms: 7 + 3x2 = -5x Solving 7 + 3x2 = -5x Solving for variable 'x'. Reorder the terms: 7 + 5x + 3x2 = -5x + 5x Combine like terms: -5x + 5x = 0 7 + 5x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 2.333333333 + 1.666666667x + x2 = 0 Move the constant term to the right: Add '-2.333333333' to each side of the equation. 2.333333333 + 1.666666667x + -2.333333333 + x2 = 0 + -2.333333333 Reorder the terms: 2.333333333 + -2.333333333 + 1.666666667x + x2 = 0 + -2.333333333 Combine like terms: 2.333333333 + -2.333333333 = 0.000000000 0.000000000 + 1.666666667x + x2 = 0 + -2.333333333 1.666666667x + x2 = 0 + -2.333333333 Combine like terms: 0 + -2.333333333 = -2.333333333 1.666666667x + x2 = -2.333333333 The x term is 1.666666667x. Take half its coefficient (0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. 1.666666667x + 0.6944444447 + x2 = -2.333333333 + 0.6944444447 Reorder the terms: 0.6944444447 + 1.666666667x + x2 = -2.333333333 + 0.6944444447 Combine like terms: -2.333333333 + 0.6944444447 = -1.6388888883 0.6944444447 + 1.666666667x + x2 = -1.6388888883 Factor a perfect square on the left side: (x + 0.8333333335)(x + 0.8333333335) = -1.6388888883 Can't calculate square root of the right side. The solution to this equation could not be determined.
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