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Simplifying 300x2 + 4400x + 25000 = 0 Reorder the terms: 25000 + 4400x + 300x2 = 0 Solving 25000 + 4400x + 300x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '100'. 100(250 + 44x + 3x2) = 0 Ignore the factor 100.Subproblem 1
Set the factor '(250 + 44x + 3x2)' equal to zero and attempt to solve: Simplifying 250 + 44x + 3x2 = 0 Solving 250 + 44x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 83.33333333 + 14.66666667x + x2 = 0 Move the constant term to the right: Add '-83.33333333' to each side of the equation. 83.33333333 + 14.66666667x + -83.33333333 + x2 = 0 + -83.33333333 Reorder the terms: 83.33333333 + -83.33333333 + 14.66666667x + x2 = 0 + -83.33333333 Combine like terms: 83.33333333 + -83.33333333 = 0.00000000 0.00000000 + 14.66666667x + x2 = 0 + -83.33333333 14.66666667x + x2 = 0 + -83.33333333 Combine like terms: 0 + -83.33333333 = -83.33333333 14.66666667x + x2 = -83.33333333 The x term is 14.66666667x. Take half its coefficient (7.333333335). Square it (53.77777780) and add it to both sides. Add '53.77777780' to each side of the equation. 14.66666667x + 53.77777780 + x2 = -83.33333333 + 53.77777780 Reorder the terms: 53.77777780 + 14.66666667x + x2 = -83.33333333 + 53.77777780 Combine like terms: -83.33333333 + 53.77777780 = -29.55555553 53.77777780 + 14.66666667x + x2 = -29.55555553 Factor a perfect square on the left side: (x + 7.333333335)(x + 7.333333335) = -29.55555553 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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