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Simplifying 2x * 2(-7x + -8) = 44 Reorder the terms: 2x * 2(-8 + -7x) = 44 Reorder the terms for easier multiplication: 2 * 2x(-8 + -7x) = 44 Multiply 2 * 2 4x(-8 + -7x) = 44 (-8 * 4x + -7x * 4x) = 44 (-32x + -28x2) = 44 Solving -32x + -28x2 = 44 Solving for variable 'x'. Reorder the terms: -44 + -32x + -28x2 = 44 + -44 Combine like terms: 44 + -44 = 0 -44 + -32x + -28x2 = 0 Factor out the Greatest Common Factor (GCF), '-4'. -4(11 + 8x + 7x2) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(11 + 8x + 7x2)' equal to zero and attempt to solve: Simplifying 11 + 8x + 7x2 = 0 Solving 11 + 8x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.571428571 + 1.142857143x + x2 = 0 Move the constant term to the right: Add '-1.571428571' to each side of the equation. 1.571428571 + 1.142857143x + -1.571428571 + x2 = 0 + -1.571428571 Reorder the terms: 1.571428571 + -1.571428571 + 1.142857143x + x2 = 0 + -1.571428571 Combine like terms: 1.571428571 + -1.571428571 = 0.000000000 0.000000000 + 1.142857143x + x2 = 0 + -1.571428571 1.142857143x + x2 = 0 + -1.571428571 Combine like terms: 0 + -1.571428571 = -1.571428571 1.142857143x + x2 = -1.571428571 The x term is 1.142857143x. Take half its coefficient (0.5714285715). Square it (0.3265306123) and add it to both sides. Add '0.3265306123' to each side of the equation. 1.142857143x + 0.3265306123 + x2 = -1.571428571 + 0.3265306123 Reorder the terms: 0.3265306123 + 1.142857143x + x2 = -1.571428571 + 0.3265306123 Combine like terms: -1.571428571 + 0.3265306123 = -1.2448979587 0.3265306123 + 1.142857143x + x2 = -1.2448979587 Factor a perfect square on the left side: (x + 0.5714285715)(x + 0.5714285715) = -1.2448979587 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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