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Simplifying 72x2 + -6x + 22 = 0 Reorder the terms: 22 + -6x + 72x2 = 0 Solving 22 + -6x + 72x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(11 + -3x + 36x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(11 + -3x + 36x2)' equal to zero and attempt to solve: Simplifying 11 + -3x + 36x2 = 0 Solving 11 + -3x + 36x2 = 0 Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. 0.3055555556 + -0.08333333333x + x2 = 0 Move the constant term to the right: Add '-0.3055555556' to each side of the equation. 0.3055555556 + -0.08333333333x + -0.3055555556 + x2 = 0 + -0.3055555556 Reorder the terms: 0.3055555556 + -0.3055555556 + -0.08333333333x + x2 = 0 + -0.3055555556 Combine like terms: 0.3055555556 + -0.3055555556 = 0.0000000000 0.0000000000 + -0.08333333333x + x2 = 0 + -0.3055555556 -0.08333333333x + x2 = 0 + -0.3055555556 Combine like terms: 0 + -0.3055555556 = -0.3055555556 -0.08333333333x + x2 = -0.3055555556 The x term is -0.08333333333x. Take half its coefficient (-0.04166666667). Square it (0.001736111111) and add it to both sides. Add '0.001736111111' to each side of the equation. -0.08333333333x + 0.001736111111 + x2 = -0.3055555556 + 0.001736111111 Reorder the terms: 0.001736111111 + -0.08333333333x + x2 = -0.3055555556 + 0.001736111111 Combine like terms: -0.3055555556 + 0.001736111111 = -0.303819444489 0.001736111111 + -0.08333333333x + x2 = -0.303819444489 Factor a perfect square on the left side: (x + -0.04166666667)(x + -0.04166666667) = -0.303819444489 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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