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Simplifying (8x2 + 6x + -3) + -1(-2x2 + 9x + -17) = 0 Reorder the terms: (-3 + 6x + 8x2) + -1(-2x2 + 9x + -17) = 0 Remove parenthesis around (-3 + 6x + 8x2) -3 + 6x + 8x2 + -1(-2x2 + 9x + -17) = 0 Reorder the terms: -3 + 6x + 8x2 + -1(-17 + 9x + -2x2) = 0 -3 + 6x + 8x2 + (-17 * -1 + 9x * -1 + -2x2 * -1) = 0 -3 + 6x + 8x2 + (17 + -9x + 2x2) = 0 Reorder the terms: -3 + 17 + 6x + -9x + 8x2 + 2x2 = 0 Combine like terms: -3 + 17 = 14 14 + 6x + -9x + 8x2 + 2x2 = 0 Combine like terms: 6x + -9x = -3x 14 + -3x + 8x2 + 2x2 = 0 Combine like terms: 8x2 + 2x2 = 10x2 14 + -3x + 10x2 = 0 Solving 14 + -3x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 1.4 + -0.3x + x2 = 0.0 Move the constant term to the right: Add '-1.4' to each side of the equation. 1.4 + -0.3x + -1.4 + x2 = 0.0 + -1.4 Reorder the terms: 1.4 + -1.4 + -0.3x + x2 = 0.0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -0.3x + x2 = 0.0 + -1.4 -0.3x + x2 = 0.0 + -1.4 Combine like terms: 0.0 + -1.4 = -1.4 -0.3x + x2 = -1.4 The x term is -0.3x. Take half its coefficient (-0.15). Square it (0.0225) and add it to both sides. Add '0.0225' to each side of the equation. -0.3x + 0.0225 + x2 = -1.4 + 0.0225 Reorder the terms: 0.0225 + -0.3x + x2 = -1.4 + 0.0225 Combine like terms: -1.4 + 0.0225 = -1.3775 0.0225 + -0.3x + x2 = -1.3775 Factor a perfect square on the left side: (x + -0.15)(x + -0.15) = -1.3775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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