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Simplifying 3x3 + 16x2 + -93x + 54k = 3 Reorder the terms: 54k + -93x + 16x2 + 3x3 = 3 Solving 54k + -93x + 16x2 + 3x3 = 3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '93x' to each side of the equation. 54k + -93x + 16x2 + 93x + 3x3 = 3 + 93x Reorder the terms: 54k + -93x + 93x + 16x2 + 3x3 = 3 + 93x Combine like terms: -93x + 93x = 0 54k + 0 + 16x2 + 3x3 = 3 + 93x 54k + 16x2 + 3x3 = 3 + 93x Add '-16x2' to each side of the equation. 54k + 16x2 + -16x2 + 3x3 = 3 + 93x + -16x2 Combine like terms: 16x2 + -16x2 = 0 54k + 0 + 3x3 = 3 + 93x + -16x2 54k + 3x3 = 3 + 93x + -16x2 Add '-3x3' to each side of the equation. 54k + 3x3 + -3x3 = 3 + 93x + -16x2 + -3x3 Combine like terms: 3x3 + -3x3 = 0 54k + 0 = 3 + 93x + -16x2 + -3x3 54k = 3 + 93x + -16x2 + -3x3 Divide each side by '54'. k = 0.05555555556 + 1.722222222x + -0.2962962963x2 + -0.05555555556x3 Simplifying k = 0.05555555556 + 1.722222222x + -0.2962962963x2 + -0.05555555556x3
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