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Simplifying -21x2 + -20x + -25 = 0 Reorder the terms: -25 + -20x + -21x2 = 0 Solving -25 + -20x + -21x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(25 + 20x + 21x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(25 + 20x + 21x2)' equal to zero and attempt to solve: Simplifying 25 + 20x + 21x2 = 0 Solving 25 + 20x + 21x2 = 0 Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 1.19047619 + 0.9523809524x + x2 = 0 Move the constant term to the right: Add '-1.19047619' to each side of the equation. 1.19047619 + 0.9523809524x + -1.19047619 + x2 = 0 + -1.19047619 Reorder the terms: 1.19047619 + -1.19047619 + 0.9523809524x + x2 = 0 + -1.19047619 Combine like terms: 1.19047619 + -1.19047619 = 0.00000000 0.00000000 + 0.9523809524x + x2 = 0 + -1.19047619 0.9523809524x + x2 = 0 + -1.19047619 Combine like terms: 0 + -1.19047619 = -1.19047619 0.9523809524x + x2 = -1.19047619 The x term is 0.9523809524x. Take half its coefficient (0.4761904762). Square it (0.2267573696) and add it to both sides. Add '0.2267573696' to each side of the equation. 0.9523809524x + 0.2267573696 + x2 = -1.19047619 + 0.2267573696 Reorder the terms: 0.2267573696 + 0.9523809524x + x2 = -1.19047619 + 0.2267573696 Combine like terms: -1.19047619 + 0.2267573696 = -0.9637188204 0.2267573696 + 0.9523809524x + x2 = -0.9637188204 Factor a perfect square on the left side: (x + 0.4761904762)(x + 0.4761904762) = -0.9637188204 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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