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Simplifying 12x2 + -280x + 8000 = 0 Reorder the terms: 8000 + -280x + 12x2 = 0 Solving 8000 + -280x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(2000 + -70x + 3x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2000 + -70x + 3x2)' equal to zero and attempt to solve: Simplifying 2000 + -70x + 3x2 = 0 Solving 2000 + -70x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 666.6666667 + -23.33333333x + x2 = 0 Move the constant term to the right: Add '-666.6666667' to each side of the equation. 666.6666667 + -23.33333333x + -666.6666667 + x2 = 0 + -666.6666667 Reorder the terms: 666.6666667 + -666.6666667 + -23.33333333x + x2 = 0 + -666.6666667 Combine like terms: 666.6666667 + -666.6666667 = 0.0000000 0.0000000 + -23.33333333x + x2 = 0 + -666.6666667 -23.33333333x + x2 = 0 + -666.6666667 Combine like terms: 0 + -666.6666667 = -666.6666667 -23.33333333x + x2 = -666.6666667 The x term is -23.33333333x. Take half its coefficient (-11.66666667). Square it (136.1111112) and add it to both sides. Add '136.1111112' to each side of the equation. -23.33333333x + 136.1111112 + x2 = -666.6666667 + 136.1111112 Reorder the terms: 136.1111112 + -23.33333333x + x2 = -666.6666667 + 136.1111112 Combine like terms: -666.6666667 + 136.1111112 = -530.5555555 136.1111112 + -23.33333333x + x2 = -530.5555555 Factor a perfect square on the left side: (x + -11.66666667)(x + -11.66666667) = -530.5555555 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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