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Simplifying 2(10x2 + 8 + -3x2 + 8x) + (20x2 + -1(x + 11) + 4) = 0 Reorder the terms: 2(8 + 8x + 10x2 + -3x2) + (20x2 + -1(x + 11) + 4) = 0 Combine like terms: 10x2 + -3x2 = 7x2 2(8 + 8x + 7x2) + (20x2 + -1(x + 11) + 4) = 0 (8 * 2 + 8x * 2 + 7x2 * 2) + (20x2 + -1(x + 11) + 4) = 0 (16 + 16x + 14x2) + (20x2 + -1(x + 11) + 4) = 0 Reorder the terms: 16 + 16x + 14x2 + (20x2 + -1(11 + x) + 4) = 0 16 + 16x + 14x2 + (20x2 + (11 * -1 + x * -1) + 4) = 0 16 + 16x + 14x2 + (20x2 + (-11 + -1x) + 4) = 0 Reorder the terms: 16 + 16x + 14x2 + (-11 + 4 + -1x + 20x2) = 0 Combine like terms: -11 + 4 = -7 16 + 16x + 14x2 + (-7 + -1x + 20x2) = 0 Remove parenthesis around (-7 + -1x + 20x2) 16 + 16x + 14x2 + -7 + -1x + 20x2 = 0 Reorder the terms: 16 + -7 + 16x + -1x + 14x2 + 20x2 = 0 Combine like terms: 16 + -7 = 9 9 + 16x + -1x + 14x2 + 20x2 = 0 Combine like terms: 16x + -1x = 15x 9 + 15x + 14x2 + 20x2 = 0 Combine like terms: 14x2 + 20x2 = 34x2 9 + 15x + 34x2 = 0 Solving 9 + 15x + 34x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 34 the coefficient of the squared term: Divide each side by '34'. 0.2647058824 + 0.4411764706x + x2 = 0 Move the constant term to the right: Add '-0.2647058824' to each side of the equation. 0.2647058824 + 0.4411764706x + -0.2647058824 + x2 = 0 + -0.2647058824 Reorder the terms: 0.2647058824 + -0.2647058824 + 0.4411764706x + x2 = 0 + -0.2647058824 Combine like terms: 0.2647058824 + -0.2647058824 = 0.0000000000 0.0000000000 + 0.4411764706x + x2 = 0 + -0.2647058824 0.4411764706x + x2 = 0 + -0.2647058824 Combine like terms: 0 + -0.2647058824 = -0.2647058824 0.4411764706x + x2 = -0.2647058824 The x term is 0.4411764706x. Take half its coefficient (0.2205882353). Square it (0.04865916955) and add it to both sides. Add '0.04865916955' to each side of the equation. 0.4411764706x + 0.04865916955 + x2 = -0.2647058824 + 0.04865916955 Reorder the terms: 0.04865916955 + 0.4411764706x + x2 = -0.2647058824 + 0.04865916955 Combine like terms: -0.2647058824 + 0.04865916955 = -0.21604671285 0.04865916955 + 0.4411764706x + x2 = -0.21604671285 Factor a perfect square on the left side: (x + 0.2205882353)(x + 0.2205882353) = -0.21604671285 Can't calculate square root of the right side. The solution to this equation could not be determined.
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