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Simplifying 3x + -6 = 1x(7 + -6x) + -14 + 5 Reorder the terms: -6 + 3x = 1x(7 + -6x) + -14 + 5 -6 + 3x = (7 * 1x + -6x * 1x) + -14 + 5 -6 + 3x = (7x + -6x2) + -14 + 5 Reorder the terms: -6 + 3x = -14 + 5 + 7x + -6x2 Combine like terms: -14 + 5 = -9 -6 + 3x = -9 + 7x + -6x2 Solving -6 + 3x = -9 + 7x + -6x2 Solving for variable 'x'. Reorder the terms: -6 + 9 + 3x + -7x + 6x2 = -9 + 7x + -6x2 + 9 + -7x + 6x2 Combine like terms: -6 + 9 = 3 3 + 3x + -7x + 6x2 = -9 + 7x + -6x2 + 9 + -7x + 6x2 Combine like terms: 3x + -7x = -4x 3 + -4x + 6x2 = -9 + 7x + -6x2 + 9 + -7x + 6x2 Reorder the terms: 3 + -4x + 6x2 = -9 + 9 + 7x + -7x + -6x2 + 6x2 Combine like terms: -9 + 9 = 0 3 + -4x + 6x2 = 0 + 7x + -7x + -6x2 + 6x2 3 + -4x + 6x2 = 7x + -7x + -6x2 + 6x2 Combine like terms: 7x + -7x = 0 3 + -4x + 6x2 = 0 + -6x2 + 6x2 3 + -4x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 3 + -4x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.5 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.6666666667x + -0.5 + x2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.6666666667x + x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.6666666667x + x2 = 0 + -0.5 -0.6666666667x + x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -0.6666666667x + x2 = -0.5 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 = -0.5 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -0.5 + 0.1111111112 Combine like terms: -0.5 + 0.1111111112 = -0.3888888888 0.1111111112 + -0.6666666667x + x2 = -0.3888888888 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -0.3888888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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