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Simplifying (5x2 + -7(x + -5)) + -1(-4(x2 + -4) + -3x) = 0 Reorder the terms: (5x2 + -7(-5 + x)) + -1(-4(x2 + -4) + -3x) = 0 (5x2 + (-5 * -7 + x * -7)) + -1(-4(x2 + -4) + -3x) = 0 (5x2 + (35 + -7x)) + -1(-4(x2 + -4) + -3x) = 0 Reorder the terms: (35 + -7x + 5x2) + -1(-4(x2 + -4) + -3x) = 0 Remove parenthesis around (35 + -7x + 5x2) 35 + -7x + 5x2 + -1(-4(x2 + -4) + -3x) = 0 Reorder the terms: 35 + -7x + 5x2 + -1(-4(-4 + x2) + -3x) = 0 35 + -7x + 5x2 + -1((-4 * -4 + x2 * -4) + -3x) = 0 35 + -7x + 5x2 + -1((16 + -4x2) + -3x) = 0 Reorder the terms: 35 + -7x + 5x2 + -1(16 + -3x + -4x2) = 0 35 + -7x + 5x2 + (16 * -1 + -3x * -1 + -4x2 * -1) = 0 35 + -7x + 5x2 + (-16 + 3x + 4x2) = 0 Reorder the terms: 35 + -16 + -7x + 3x + 5x2 + 4x2 = 0 Combine like terms: 35 + -16 = 19 19 + -7x + 3x + 5x2 + 4x2 = 0 Combine like terms: -7x + 3x = -4x 19 + -4x + 5x2 + 4x2 = 0 Combine like terms: 5x2 + 4x2 = 9x2 19 + -4x + 9x2 = 0 Solving 19 + -4x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 2.111111111 + -0.4444444444x + x2 = 0 Move the constant term to the right: Add '-2.111111111' to each side of the equation. 2.111111111 + -0.4444444444x + -2.111111111 + x2 = 0 + -2.111111111 Reorder the terms: 2.111111111 + -2.111111111 + -0.4444444444x + x2 = 0 + -2.111111111 Combine like terms: 2.111111111 + -2.111111111 = 0.000000000 0.000000000 + -0.4444444444x + x2 = 0 + -2.111111111 -0.4444444444x + x2 = 0 + -2.111111111 Combine like terms: 0 + -2.111111111 = -2.111111111 -0.4444444444x + x2 = -2.111111111 The x term is -0.4444444444x. Take half its coefficient (-0.2222222222). Square it (0.04938271604) and add it to both sides. Add '0.04938271604' to each side of the equation. -0.4444444444x + 0.04938271604 + x2 = -2.111111111 + 0.04938271604 Reorder the terms: 0.04938271604 + -0.4444444444x + x2 = -2.111111111 + 0.04938271604 Combine like terms: -2.111111111 + 0.04938271604 = -2.06172839496 0.04938271604 + -0.4444444444x + x2 = -2.06172839496 Factor a perfect square on the left side: (x + -0.2222222222)(x + -0.2222222222) = -2.06172839496 Can't calculate square root of the right side. The solution to this equation could not be determined.
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