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Simplifying (9x2 + 6x + 3) + (4x2 + -8x + 4) = 0 Reorder the terms: (3 + 6x + 9x2) + (4x2 + -8x + 4) = 0 Remove parenthesis around (3 + 6x + 9x2) 3 + 6x + 9x2 + (4x2 + -8x + 4) = 0 Reorder the terms: 3 + 6x + 9x2 + (4 + -8x + 4x2) = 0 Remove parenthesis around (4 + -8x + 4x2) 3 + 6x + 9x2 + 4 + -8x + 4x2 = 0 Reorder the terms: 3 + 4 + 6x + -8x + 9x2 + 4x2 = 0 Combine like terms: 3 + 4 = 7 7 + 6x + -8x + 9x2 + 4x2 = 0 Combine like terms: 6x + -8x = -2x 7 + -2x + 9x2 + 4x2 = 0 Combine like terms: 9x2 + 4x2 = 13x2 7 + -2x + 13x2 = 0 Solving 7 + -2x + 13x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 0.5384615385 + -0.1538461538x + x2 = 0 Move the constant term to the right: Add '-0.5384615385' to each side of the equation. 0.5384615385 + -0.1538461538x + -0.5384615385 + x2 = 0 + -0.5384615385 Reorder the terms: 0.5384615385 + -0.5384615385 + -0.1538461538x + x2 = 0 + -0.5384615385 Combine like terms: 0.5384615385 + -0.5384615385 = 0.0000000000 0.0000000000 + -0.1538461538x + x2 = 0 + -0.5384615385 -0.1538461538x + x2 = 0 + -0.5384615385 Combine like terms: 0 + -0.5384615385 = -0.5384615385 -0.1538461538x + x2 = -0.5384615385 The x term is -0.1538461538x. Take half its coefficient (-0.0769230769). Square it (0.005917159760) and add it to both sides. Add '0.005917159760' to each side of the equation. -0.1538461538x + 0.005917159760 + x2 = -0.5384615385 + 0.005917159760 Reorder the terms: 0.005917159760 + -0.1538461538x + x2 = -0.5384615385 + 0.005917159760 Combine like terms: -0.5384615385 + 0.005917159760 = -0.53254437874 0.005917159760 + -0.1538461538x + x2 = -0.53254437874 Factor a perfect square on the left side: (x + -0.0769230769)(x + -0.0769230769) = -0.53254437874 Can't calculate square root of the right side. The solution to this equation could not be determined.
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