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Simplifying 2x(7x + 4) = 4x + -6(2 + -1x) + 7 Reorder the terms: 2x(4 + 7x) = 4x + -6(2 + -1x) + 7 (4 * 2x + 7x * 2x) = 4x + -6(2 + -1x) + 7 (8x + 14x2) = 4x + -6(2 + -1x) + 7 8x + 14x2 = 4x + (2 * -6 + -1x * -6) + 7 8x + 14x2 = 4x + (-12 + 6x) + 7 Reorder the terms: 8x + 14x2 = -12 + 7 + 4x + 6x Combine like terms: -12 + 7 = -5 8x + 14x2 = -5 + 4x + 6x Combine like terms: 4x + 6x = 10x 8x + 14x2 = -5 + 10x Solving 8x + 14x2 = -5 + 10x Solving for variable 'x'. Reorder the terms: 5 + 8x + -10x + 14x2 = -5 + 10x + 5 + -10x Combine like terms: 8x + -10x = -2x 5 + -2x + 14x2 = -5 + 10x + 5 + -10x Reorder the terms: 5 + -2x + 14x2 = -5 + 5 + 10x + -10x Combine like terms: -5 + 5 = 0 5 + -2x + 14x2 = 0 + 10x + -10x 5 + -2x + 14x2 = 10x + -10x Combine like terms: 10x + -10x = 0 5 + -2x + 14x2 = 0 Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.3571428571 + -0.1428571429x + x2 = 0 Move the constant term to the right: Add '-0.3571428571' to each side of the equation. 0.3571428571 + -0.1428571429x + -0.3571428571 + x2 = 0 + -0.3571428571 Reorder the terms: 0.3571428571 + -0.3571428571 + -0.1428571429x + x2 = 0 + -0.3571428571 Combine like terms: 0.3571428571 + -0.3571428571 = 0.0000000000 0.0000000000 + -0.1428571429x + x2 = 0 + -0.3571428571 -0.1428571429x + x2 = 0 + -0.3571428571 Combine like terms: 0 + -0.3571428571 = -0.3571428571 -0.1428571429x + x2 = -0.3571428571 The x term is -0.1428571429x. Take half its coefficient (-0.07142857145). Square it (0.005102040819) and add it to both sides. Add '0.005102040819' to each side of the equation. -0.1428571429x + 0.005102040819 + x2 = -0.3571428571 + 0.005102040819 Reorder the terms: 0.005102040819 + -0.1428571429x + x2 = -0.3571428571 + 0.005102040819 Combine like terms: -0.3571428571 + 0.005102040819 = -0.352040816281 0.005102040819 + -0.1428571429x + x2 = -0.352040816281 Factor a perfect square on the left side: (x + -0.07142857145)(x + -0.07142857145) = -0.352040816281 Can't calculate square root of the right side. The solution to this equation could not be determined.
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