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Simplifying (-9x + -7) + -1((8x2) + -4x) = 0 Reorder the terms: (-7 + -9x) + -1((8x2) + -4x) = 0 Remove parenthesis around (-7 + -9x) -7 + -9x + -1((8x2) + -4x) = 0 Reorder the terms: -7 + -9x + -1(-4x + (8x2)) = 0 -7 + -9x + (-4x * -1 + (8x2) * -1) = 0 -7 + -9x + (4x + -8x2) = 0 Combine like terms: -9x + 4x = -5x -7 + -5x + -8x2 = 0 Solving -7 + -5x + -8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 5x + 8x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + 5x + 8x2)' equal to zero and attempt to solve: Simplifying 7 + 5x + 8x2 = 0 Solving 7 + 5x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.875 + 0.625x + x2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + 0.625x + -0.875 + x2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + 0.625x + x2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + 0.625x + x2 = 0 + -0.875 0.625x + x2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 0.625x + x2 = -0.875 The x term is 0.625x. Take half its coefficient (0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. 0.625x + 0.09765625 + x2 = -0.875 + 0.09765625 Reorder the terms: 0.09765625 + 0.625x + x2 = -0.875 + 0.09765625 Combine like terms: -0.875 + 0.09765625 = -0.77734375 0.09765625 + 0.625x + x2 = -0.77734375 Factor a perfect square on the left side: (x + 0.3125)(x + 0.3125) = -0.77734375 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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