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Simplifying (100) * x + (105)(x2) = -90 Solving 100x + 105x2 = -90 Solving for variable 'x'. Reorder the terms: 90 + 100x + 105x2 = -90 + 90 Combine like terms: -90 + 90 = 0 90 + 100x + 105x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(18 + 20x + 21x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(18 + 20x + 21x2)' equal to zero and attempt to solve: Simplifying 18 + 20x + 21x2 = 0 Solving 18 + 20x + 21x2 = 0 Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 0.8571428571 + 0.9523809524x + x2 = 0 Move the constant term to the right: Add '-0.8571428571' to each side of the equation. 0.8571428571 + 0.9523809524x + -0.8571428571 + x2 = 0 + -0.8571428571 Reorder the terms: 0.8571428571 + -0.8571428571 + 0.9523809524x + x2 = 0 + -0.8571428571 Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000 0.0000000000 + 0.9523809524x + x2 = 0 + -0.8571428571 0.9523809524x + x2 = 0 + -0.8571428571 Combine like terms: 0 + -0.8571428571 = -0.8571428571 0.9523809524x + x2 = -0.8571428571 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 = -0.8571428571 + 0.2267573696 Reorder the terms: 0.2267573696 + 0.9523809524x + x2 = -0.8571428571 + 0.2267573696 Combine like terms: -0.8571428571 + 0.2267573696 = -0.6303854875 0.2267573696 + 0.9523809524x + x2 = -0.6303854875 Factor a perfect square on the left side: (x + 0.4761904762)(x + 0.4761904762) = -0.6303854875 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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