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Simplifying 36x2 = 24x + -5 Reorder the terms: 36x2 = -5 + 24x Solving 36x2 = -5 + 24x Solving for variable 'x'. Reorder the terms: 5 + -24x + 36x2 = -5 + 24x + 5 + -24x Reorder the terms: 5 + -24x + 36x2 = -5 + 5 + 24x + -24x Combine like terms: -5 + 5 = 0 5 + -24x + 36x2 = 0 + 24x + -24x 5 + -24x + 36x2 = 24x + -24x Combine like terms: 24x + -24x = 0 5 + -24x + 36x2 = 0 Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. 0.1388888889 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-0.1388888889' to each side of the equation. 0.1388888889 + -0.6666666667x + -0.1388888889 + x2 = 0 + -0.1388888889 Reorder the terms: 0.1388888889 + -0.1388888889 + -0.6666666667x + x2 = 0 + -0.1388888889 Combine like terms: 0.1388888889 + -0.1388888889 = 0.0000000000 0.0000000000 + -0.6666666667x + x2 = 0 + -0.1388888889 -0.6666666667x + x2 = 0 + -0.1388888889 Combine like terms: 0 + -0.1388888889 = -0.1388888889 -0.6666666667x + x2 = -0.1388888889 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = -0.1388888889 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -0.1388888889 + 0.1111111112 Combine like terms: -0.1388888889 + 0.1111111112 = -0.0277777777 0.1111111112 + -0.6666666667x + x2 = -0.0277777777 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -0.0277777777 Can't calculate square root of the right side. The solution to this equation could not be determined.
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