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Simplifying 5x + -2 * 5x + -2 = 36x2 Multiply -2 * 5 5x + -10x + -2 = 36x2 Reorder the terms: -2 + 5x + -10x = 36x2 Combine like terms: 5x + -10x = -5x -2 + -5x = 36x2 Solving -2 + -5x = 36x2 Solving for variable 'x'. Combine like terms: 36x2 + -36x2 = 0 -2 + -5x + -36x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2 + 5x + 36x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + 5x + 36x2)' equal to zero and attempt to solve: Simplifying 2 + 5x + 36x2 = 0 Solving 2 + 5x + 36x2 = 0 Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. 0.05555555556 + 0.1388888889x + x2 = 0 Move the constant term to the right: Add '-0.05555555556' to each side of the equation. 0.05555555556 + 0.1388888889x + -0.05555555556 + x2 = 0 + -0.05555555556 Reorder the terms: 0.05555555556 + -0.05555555556 + 0.1388888889x + x2 = 0 + -0.05555555556 Combine like terms: 0.05555555556 + -0.05555555556 = 0.00000000000 0.00000000000 + 0.1388888889x + x2 = 0 + -0.05555555556 0.1388888889x + x2 = 0 + -0.05555555556 Combine like terms: 0 + -0.05555555556 = -0.05555555556 0.1388888889x + x2 = -0.05555555556 The x term is 0.1388888889x. Take half its coefficient (0.06944444445). Square it (0.004822530865) and add it to both sides. Add '0.004822530865' to each side of the equation. 0.1388888889x + 0.004822530865 + x2 = -0.05555555556 + 0.004822530865 Reorder the terms: 0.004822530865 + 0.1388888889x + x2 = -0.05555555556 + 0.004822530865 Combine like terms: -0.05555555556 + 0.004822530865 = -0.050733024695 0.004822530865 + 0.1388888889x + x2 = -0.050733024695 Factor a perfect square on the left side: (x + 0.06944444445)(x + 0.06944444445) = -0.050733024695 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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