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Simplifying 10x + -4 = 6x * 11x Reorder the terms: -4 + 10x = 6x * 11x Reorder the terms for easier multiplication: -4 + 10x = 6 * 11x * x Multiply 6 * 11 -4 + 10x = 66x * x Multiply x * x -4 + 10x = 66x2 Solving -4 + 10x = 66x2 Solving for variable 'x'. Combine like terms: 66x2 + -66x2 = 0 -4 + 10x + -66x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 5x + -33x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 5x + -33x2)' equal to zero and attempt to solve: Simplifying -2 + 5x + -33x2 = 0 Solving -2 + 5x + -33x2 = 0 Begin completing the square. Divide all terms by -33 the coefficient of the squared term: Divide each side by '-33'. 0.06060606061 + -0.1515151515x + x2 = 0 Move the constant term to the right: Add '-0.06060606061' to each side of the equation. 0.06060606061 + -0.1515151515x + -0.06060606061 + x2 = 0 + -0.06060606061 Reorder the terms: 0.06060606061 + -0.06060606061 + -0.1515151515x + x2 = 0 + -0.06060606061 Combine like terms: 0.06060606061 + -0.06060606061 = 0.00000000000 0.00000000000 + -0.1515151515x + x2 = 0 + -0.06060606061 -0.1515151515x + x2 = 0 + -0.06060606061 Combine like terms: 0 + -0.06060606061 = -0.06060606061 -0.1515151515x + x2 = -0.06060606061 The x term is -0.1515151515x. Take half its coefficient (-0.07575757575). Square it (0.005739210284) and add it to both sides. Add '0.005739210284' to each side of the equation. -0.1515151515x + 0.005739210284 + x2 = -0.06060606061 + 0.005739210284 Reorder the terms: 0.005739210284 + -0.1515151515x + x2 = -0.06060606061 + 0.005739210284 Combine like terms: -0.06060606061 + 0.005739210284 = -0.054866850326 0.005739210284 + -0.1515151515x + x2 = -0.054866850326 Factor a perfect square on the left side: (x + -0.07575757575)(x + -0.07575757575) = -0.054866850326 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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