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Simplifying 5A(7A + -1) + 25 = 0 Reorder the terms: 5A(-1 + 7A) + 25 = 0 (-1 * 5A + 7A * 5A) + 25 = 0 (-5A + 35A2) + 25 = 0 Reorder the terms: 25 + -5A + 35A2 = 0 Solving 25 + -5A + 35A2 = 0 Solving for variable 'A'. Factor out the Greatest Common Factor (GCF), '5'. 5(5 + -1A + 7A2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(5 + -1A + 7A2)' equal to zero and attempt to solve: Simplifying 5 + -1A + 7A2 = 0 Solving 5 + -1A + 7A2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.7142857143 + -0.1428571429A + A2 = 0 Move the constant term to the right: Add '-0.7142857143' to each side of the equation. 0.7142857143 + -0.1428571429A + -0.7142857143 + A2 = 0 + -0.7142857143 Reorder the terms: 0.7142857143 + -0.7142857143 + -0.1428571429A + A2 = 0 + -0.7142857143 Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000 0.0000000000 + -0.1428571429A + A2 = 0 + -0.7142857143 -0.1428571429A + A2 = 0 + -0.7142857143 Combine like terms: 0 + -0.7142857143 = -0.7142857143 -0.1428571429A + A2 = -0.7142857143 The A term is -0.1428571429A. Take half its coefficient (-0.07142857145). Square it (0.005102040819) and add it to both sides. Add '0.005102040819' to each side of the equation. -0.1428571429A + 0.005102040819 + A2 = -0.7142857143 + 0.005102040819 Reorder the terms: 0.005102040819 + -0.1428571429A + A2 = -0.7142857143 + 0.005102040819 Combine like terms: -0.7142857143 + 0.005102040819 = -0.709183673481 0.005102040819 + -0.1428571429A + A2 = -0.709183673481 Factor a perfect square on the left side: (A + -0.07142857145)(A + -0.07142857145) = -0.709183673481 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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