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Simplifying -28x2 + -9x + -1 = -4x + 2 Reorder the terms: -1 + -9x + -28x2 = -4x + 2 Reorder the terms: -1 + -9x + -28x2 = 2 + -4x Solving -1 + -9x + -28x2 = 2 + -4x Solving for variable 'x'. Reorder the terms: -1 + -2 + -9x + 4x + -28x2 = 2 + -4x + -2 + 4x Combine like terms: -1 + -2 = -3 -3 + -9x + 4x + -28x2 = 2 + -4x + -2 + 4x Combine like terms: -9x + 4x = -5x -3 + -5x + -28x2 = 2 + -4x + -2 + 4x Reorder the terms: -3 + -5x + -28x2 = 2 + -2 + -4x + 4x Combine like terms: 2 + -2 = 0 -3 + -5x + -28x2 = 0 + -4x + 4x -3 + -5x + -28x2 = -4x + 4x Combine like terms: -4x + 4x = 0 -3 + -5x + -28x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(3 + 5x + 28x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + 5x + 28x2)' equal to zero and attempt to solve: Simplifying 3 + 5x + 28x2 = 0 Solving 3 + 5x + 28x2 = 0 Begin completing the square. Divide all terms by 28 the coefficient of the squared term: Divide each side by '28'. 0.1071428571 + 0.1785714286x + x2 = 0 Move the constant term to the right: Add '-0.1071428571' to each side of the equation. 0.1071428571 + 0.1785714286x + -0.1071428571 + x2 = 0 + -0.1071428571 Reorder the terms: 0.1071428571 + -0.1071428571 + 0.1785714286x + x2 = 0 + -0.1071428571 Combine like terms: 0.1071428571 + -0.1071428571 = 0.0000000000 0.0000000000 + 0.1785714286x + x2 = 0 + -0.1071428571 0.1785714286x + x2 = 0 + -0.1071428571 Combine like terms: 0 + -0.1071428571 = -0.1071428571 0.1785714286x + x2 = -0.1071428571 The x term is 0.1785714286x. Take half its coefficient (0.0892857143). Square it (0.007971938778) and add it to both sides. Add '0.007971938778' to each side of the equation. 0.1785714286x + 0.007971938778 + x2 = -0.1071428571 + 0.007971938778 Reorder the terms: 0.007971938778 + 0.1785714286x + x2 = -0.1071428571 + 0.007971938778 Combine like terms: -0.1071428571 + 0.007971938778 = -0.099170918322 0.007971938778 + 0.1785714286x + x2 = -0.099170918322 Factor a perfect square on the left side: (x + 0.0892857143)(x + 0.0892857143) = -0.099170918322 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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