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Simplifying (-8x2 + -7x + -9) + -1(9x2 + -3x + 2) = 0 Reorder the terms: (-9 + -7x + -8x2) + -1(9x2 + -3x + 2) = 0 Remove parenthesis around (-9 + -7x + -8x2) -9 + -7x + -8x2 + -1(9x2 + -3x + 2) = 0 Reorder the terms: -9 + -7x + -8x2 + -1(2 + -3x + 9x2) = 0 -9 + -7x + -8x2 + (2 * -1 + -3x * -1 + 9x2 * -1) = 0 -9 + -7x + -8x2 + (-2 + 3x + -9x2) = 0 Reorder the terms: -9 + -2 + -7x + 3x + -8x2 + -9x2 = 0 Combine like terms: -9 + -2 = -11 -11 + -7x + 3x + -8x2 + -9x2 = 0 Combine like terms: -7x + 3x = -4x -11 + -4x + -8x2 + -9x2 = 0 Combine like terms: -8x2 + -9x2 = -17x2 -11 + -4x + -17x2 = 0 Solving -11 + -4x + -17x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(11 + 4x + 17x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(11 + 4x + 17x2)' equal to zero and attempt to solve: Simplifying 11 + 4x + 17x2 = 0 Solving 11 + 4x + 17x2 = 0 Begin completing the square. Divide all terms by 17 the coefficient of the squared term: Divide each side by '17'. 0.6470588235 + 0.2352941176x + x2 = 0 Move the constant term to the right: Add '-0.6470588235' to each side of the equation. 0.6470588235 + 0.2352941176x + -0.6470588235 + x2 = 0 + -0.6470588235 Reorder the terms: 0.6470588235 + -0.6470588235 + 0.2352941176x + x2 = 0 + -0.6470588235 Combine like terms: 0.6470588235 + -0.6470588235 = 0.0000000000 0.0000000000 + 0.2352941176x + x2 = 0 + -0.6470588235 0.2352941176x + x2 = 0 + -0.6470588235 Combine like terms: 0 + -0.6470588235 = -0.6470588235 0.2352941176x + x2 = -0.6470588235 The x term is 0.2352941176x. Take half its coefficient (0.1176470588). Square it (0.01384083044) and add it to both sides. Add '0.01384083044' to each side of the equation. 0.2352941176x + 0.01384083044 + x2 = -0.6470588235 + 0.01384083044 Reorder the terms: 0.01384083044 + 0.2352941176x + x2 = -0.6470588235 + 0.01384083044 Combine like terms: -0.6470588235 + 0.01384083044 = -0.63321799306 0.01384083044 + 0.2352941176x + x2 = -0.63321799306 Factor a perfect square on the left side: (x + 0.1176470588)(x + 0.1176470588) = -0.63321799306 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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