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Simplifying 6x2 + 8x = 10x + -3 Reorder the terms: 8x + 6x2 = 10x + -3 Reorder the terms: 8x + 6x2 = -3 + 10x Solving 8x + 6x2 = -3 + 10x Solving for variable 'x'. Reorder the terms: 3 + 8x + -10x + 6x2 = -3 + 10x + 3 + -10x Combine like terms: 8x + -10x = -2x 3 + -2x + 6x2 = -3 + 10x + 3 + -10x Reorder the terms: 3 + -2x + 6x2 = -3 + 3 + 10x + -10x Combine like terms: -3 + 3 = 0 3 + -2x + 6x2 = 0 + 10x + -10x 3 + -2x + 6x2 = 10x + -10x Combine like terms: 10x + -10x = 0 3 + -2x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.5 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.3333333333x + -0.5 + x2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.3333333333x + x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.3333333333x + x2 = 0 + -0.5 -0.3333333333x + x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -0.3333333333x + x2 = -0.5 The x term is -0.3333333333x. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333x + 0.02777777779 + x2 = -0.5 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333x + x2 = -0.5 + 0.02777777779 Combine like terms: -0.5 + 0.02777777779 = -0.47222222221 0.02777777779 + -0.3333333333x + x2 = -0.47222222221 Factor a perfect square on the left side: (x + -0.1666666667)(x + -0.1666666667) = -0.47222222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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