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Simplifying 70x2 + 24x + 28 = 0 Reorder the terms: 28 + 24x + 70x2 = 0 Solving 28 + 24x + 70x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(14 + 12x + 35x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(14 + 12x + 35x2)' equal to zero and attempt to solve: Simplifying 14 + 12x + 35x2 = 0 Solving 14 + 12x + 35x2 = 0 Begin completing the square. Divide all terms by 35 the coefficient of the squared term: Divide each side by '35'. 0.4 + 0.3428571429x + x2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 0.3428571429x + -0.4 + x2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 0.3428571429x + x2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.3428571429x + x2 = 0 + -0.4 0.3428571429x + x2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 0.3428571429x + x2 = -0.4 The x term is 0.3428571429x. Take half its coefficient (0.1714285715). Square it (0.02938775513) and add it to both sides. Add '0.02938775513' to each side of the equation. 0.3428571429x + 0.02938775513 + x2 = -0.4 + 0.02938775513 Reorder the terms: 0.02938775513 + 0.3428571429x + x2 = -0.4 + 0.02938775513 Combine like terms: -0.4 + 0.02938775513 = -0.37061224487 0.02938775513 + 0.3428571429x + x2 = -0.37061224487 Factor a perfect square on the left side: (x + 0.1714285715)(x + 0.1714285715) = -0.37061224487 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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