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Simplifying (9x2 + 3x + 4) + -1(7x + 3) = 0 Reorder the terms: (4 + 3x + 9x2) + -1(7x + 3) = 0 Remove parenthesis around (4 + 3x + 9x2) 4 + 3x + 9x2 + -1(7x + 3) = 0 Reorder the terms: 4 + 3x + 9x2 + -1(3 + 7x) = 0 4 + 3x + 9x2 + (3 * -1 + 7x * -1) = 0 4 + 3x + 9x2 + (-3 + -7x) = 0 Reorder the terms: 4 + -3 + 3x + -7x + 9x2 = 0 Combine like terms: 4 + -3 = 1 1 + 3x + -7x + 9x2 = 0 Combine like terms: 3x + -7x = -4x 1 + -4x + 9x2 = 0 Solving 1 + -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'. 0.1111111111 + -0.4444444444x + x2 = 0 Move the constant term to the right: Add '-0.1111111111' to each side of the equation. 0.1111111111 + -0.4444444444x + -0.1111111111 + x2 = 0 + -0.1111111111 Reorder the terms: 0.1111111111 + -0.1111111111 + -0.4444444444x + x2 = 0 + -0.1111111111 Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000 0.0000000000 + -0.4444444444x + x2 = 0 + -0.1111111111 -0.4444444444x + x2 = 0 + -0.1111111111 Combine like terms: 0 + -0.1111111111 = -0.1111111111 -0.4444444444x + x2 = -0.1111111111 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 = -0.1111111111 + 0.04938271604 Reorder the terms: 0.04938271604 + -0.4444444444x + x2 = -0.1111111111 + 0.04938271604 Combine like terms: -0.1111111111 + 0.04938271604 = -0.06172839506 0.04938271604 + -0.4444444444x + x2 = -0.06172839506 Factor a perfect square on the left side: (x + -0.2222222222)(x + -0.2222222222) = -0.06172839506 Can't calculate square root of the right side. The solution to this equation could not be determined.
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