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Simplifying 6x2 + 9 = -4x Reorder the terms: 9 + 6x2 = -4x Solving 9 + 6x2 = -4x Solving for variable 'x'. Reorder the terms: 9 + 4x + 6x2 = -4x + 4x Combine like terms: -4x + 4x = 0 9 + 4x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.5 + 0.6666666667x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 0.6666666667x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 0.6666666667x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.6666666667x + x2 = 0 + -1.5 0.6666666667x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 0.6666666667x + x2 = -1.5 The x term is 0.6666666667x. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667x + 0.1111111112 + x2 = -1.5 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667x + x2 = -1.5 + 0.1111111112 Combine like terms: -1.5 + 0.1111111112 = -1.3888888888 0.1111111112 + 0.6666666667x + x2 = -1.3888888888 Factor a perfect square on the left side: (x + 0.3333333334)(x + 0.3333333334) = -1.3888888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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