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Simplifying (-9x2 + 3x + -7) + (-4x2 + -1x) = 0 Reorder the terms: (-7 + 3x + -9x2) + (-4x2 + -1x) = 0 Remove parenthesis around (-7 + 3x + -9x2) -7 + 3x + -9x2 + (-4x2 + -1x) = 0 Reorder the terms: -7 + 3x + -9x2 + (-1x + -4x2) = 0 Remove parenthesis around (-1x + -4x2) -7 + 3x + -9x2 + -1x + -4x2 = 0 Reorder the terms: -7 + 3x + -1x + -9x2 + -4x2 = 0 Combine like terms: 3x + -1x = 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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