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Simplifying 3x + 2x(7 + -5x) = 12 3x + (7 * 2x + -5x * 2x) = 12 3x + (14x + -10x2) = 12 Combine like terms: 3x + 14x = 17x 17x + -10x2 = 12 Solving 17x + -10x2 = 12 Solving for variable 'x'. Reorder the terms: -12 + 17x + -10x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 17x + -10x2 = 0 Begin completing the square. Divide all terms by -10 the coefficient of the squared term: Divide each side by '-10'. 1.2 + -1.7x + x2 = 0.0 Move the constant term to the right: Add '-1.2' to each side of the equation. 1.2 + -1.7x + -1.2 + x2 = 0.0 + -1.2 Reorder the terms: 1.2 + -1.2 + -1.7x + x2 = 0.0 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -1.7x + x2 = 0.0 + -1.2 -1.7x + x2 = 0.0 + -1.2 Combine like terms: 0.0 + -1.2 = -1.2 -1.7x + x2 = -1.2 The x term is -1.7x. Take half its coefficient (-0.85). Square it (0.7225) and add it to both sides. Add '0.7225' to each side of the equation. -1.7x + 0.7225 + x2 = -1.2 + 0.7225 Reorder the terms: 0.7225 + -1.7x + x2 = -1.2 + 0.7225 Combine like terms: -1.2 + 0.7225 = -0.4775 0.7225 + -1.7x + x2 = -0.4775 Factor a perfect square on the left side: (x + -0.85)(x + -0.85) = -0.4775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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