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Simplifying 3x3 + kx2 + 42x + k = 0 Reorder the terms: k + kx2 + 42x + 3x3 = 0 Solving k + kx2 + 42x + 3x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42x' to each side of the equation. k + kx2 + 42x + -42x + 3x3 = 0 + -42x Combine like terms: 42x + -42x = 0 k + kx2 + 0 + 3x3 = 0 + -42x k + kx2 + 3x3 = 0 + -42x Remove the zero: k + kx2 + 3x3 = -42x Add '-3x3' to each side of the equation. k + kx2 + 3x3 + -3x3 = -42x + -3x3 Combine like terms: 3x3 + -3x3 = 0 k + kx2 + 0 = -42x + -3x3 k + kx2 = -42x + -3x3 Reorder the terms: k + kx2 + 42x + 3x3 = -42x + 42x + -3x3 + 3x3 Combine like terms: -42x + 42x = 0 k + kx2 + 42x + 3x3 = 0 + -3x3 + 3x3 k + kx2 + 42x + 3x3 = -3x3 + 3x3 Combine like terms: -3x3 + 3x3 = 0 k + kx2 + 42x + 3x3 = 0 The solution to this equation could not be determined.
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