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Simplifying x(3x + -16) + 5 = x(9x + -44x) + -5 Reorder the terms: x(-16 + 3x) + 5 = x(9x + -44x) + -5 (-16 * x + 3x * x) + 5 = x(9x + -44x) + -5 (-16x + 3x2) + 5 = x(9x + -44x) + -5 Reorder the terms: 5 + -16x + 3x2 = x(9x + -44x) + -5 Combine like terms: 9x + -44x = -35x 5 + -16x + 3x2 = x(-35x) + -5 Remove parenthesis around (-35x) 5 + -16x + 3x2 = x * -35x + -5 Reorder the terms for easier multiplication: 5 + -16x + 3x2 = -35x * x + -5 Multiply x * x 5 + -16x + 3x2 = -35x2 + -5 Reorder the terms: 5 + -16x + 3x2 = -5 + -35x2 Solving 5 + -16x + 3x2 = -5 + -35x2 Solving for variable 'x'. Reorder the terms: 5 + 5 + -16x + 3x2 + 35x2 = -5 + -35x2 + 5 + 35x2 Combine like terms: 5 + 5 = 10 10 + -16x + 3x2 + 35x2 = -5 + -35x2 + 5 + 35x2 Combine like terms: 3x2 + 35x2 = 38x2 10 + -16x + 38x2 = -5 + -35x2 + 5 + 35x2 Reorder the terms: 10 + -16x + 38x2 = -5 + 5 + -35x2 + 35x2 Combine like terms: -5 + 5 = 0 10 + -16x + 38x2 = 0 + -35x2 + 35x2 10 + -16x + 38x2 = -35x2 + 35x2 Combine like terms: -35x2 + 35x2 = 0 10 + -16x + 38x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -8x + 19x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -8x + 19x2)' equal to zero and attempt to solve: Simplifying 5 + -8x + 19x2 = 0 Solving 5 + -8x + 19x2 = 0 Begin completing the square. Divide all terms by 19 the coefficient of the squared term: Divide each side by '19'. 0.2631578947 + -0.4210526316x + x2 = 0 Move the constant term to the right: Add '-0.2631578947' to each side of the equation. 0.2631578947 + -0.4210526316x + -0.2631578947 + x2 = 0 + -0.2631578947 Reorder the terms: 0.2631578947 + -0.2631578947 + -0.4210526316x + x2 = 0 + -0.2631578947 Combine like terms: 0.2631578947 + -0.2631578947 = 0.0000000000 0.0000000000 + -0.4210526316x + x2 = 0 + -0.2631578947 -0.4210526316x + x2 = 0 + -0.2631578947 Combine like terms: 0 + -0.2631578947 = -0.2631578947 -0.4210526316x + x2 = -0.2631578947 The x term is -0.4210526316x. Take half its coefficient (-0.2105263158). Square it (0.04432132964) and add it to both sides. Add '0.04432132964' to each side of the equation. -0.4210526316x + 0.04432132964 + x2 = -0.2631578947 + 0.04432132964 Reorder the terms: 0.04432132964 + -0.4210526316x + x2 = -0.2631578947 + 0.04432132964 Combine like terms: -0.2631578947 + 0.04432132964 = -0.21883656506 0.04432132964 + -0.4210526316x + x2 = -0.21883656506 Factor a perfect square on the left side: (x + -0.2105263158)(x + -0.2105263158) = -0.21883656506 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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