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Simplifying 12x2 + -176x + 3200 = 0 Reorder the terms: 3200 + -176x + 12x2 = 0 Solving 3200 + -176x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(800 + -44x + 3x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(800 + -44x + 3x2)' equal to zero and attempt to solve: Simplifying 800 + -44x + 3x2 = 0 Solving 800 + -44x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 266.6666667 + -14.66666667x + x2 = 0 Move the constant term to the right: Add '-266.6666667' to each side of the equation. 266.6666667 + -14.66666667x + -266.6666667 + x2 = 0 + -266.6666667 Reorder the terms: 266.6666667 + -266.6666667 + -14.66666667x + x2 = 0 + -266.6666667 Combine like terms: 266.6666667 + -266.6666667 = 0.0000000 0.0000000 + -14.66666667x + x2 = 0 + -266.6666667 -14.66666667x + x2 = 0 + -266.6666667 Combine like terms: 0 + -266.6666667 = -266.6666667 -14.66666667x + x2 = -266.6666667 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 = -266.6666667 + 53.77777780 Reorder the terms: 53.77777780 + -14.66666667x + x2 = -266.6666667 + 53.77777780 Combine like terms: -266.6666667 + 53.77777780 = -212.8888889 53.77777780 + -14.66666667x + x2 = -212.8888889 Factor a perfect square on the left side: (x + -7.333333335)(x + -7.333333335) = -212.8888889 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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