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Simplifying 36x2 + -14x + 16 = 0 Reorder the terms: 16 + -14x + 36x2 = 0 Solving 16 + -14x + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -7x + 18x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -7x + 18x2)' equal to zero and attempt to solve: Simplifying 8 + -7x + 18x2 = 0 Solving 8 + -7x + 18x2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.4444444444 + -0.3888888889x + x2 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + -0.3888888889x + -0.4444444444 + x2 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + -0.3888888889x + x2 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + -0.3888888889x + x2 = 0 + -0.4444444444 -0.3888888889x + x2 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 -0.3888888889x + x2 = -0.4444444444 The x term is -0.3888888889x. Take half its coefficient (-0.1944444445). Square it (0.03780864200) and add it to both sides. Add '0.03780864200' to each side of the equation. -0.3888888889x + 0.03780864200 + x2 = -0.4444444444 + 0.03780864200 Reorder the terms: 0.03780864200 + -0.3888888889x + x2 = -0.4444444444 + 0.03780864200 Combine like terms: -0.4444444444 + 0.03780864200 = -0.4066358024 0.03780864200 + -0.3888888889x + x2 = -0.4066358024 Factor a perfect square on the left side: (x + -0.1944444445)(x + -0.1944444445) = -0.4066358024 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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