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Simplifying x3 + 2k2 + -25x + -50 = 0 Reorder the terms: -50 + 2k2 + -25x + x3 = 0 Solving -50 + 2k2 + -25x + x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 2k2 + -25x + 50 + x3 = 0 + 50 Reorder the terms: -50 + 50 + 2k2 + -25x + x3 = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 2k2 + -25x + x3 = 0 + 50 2k2 + -25x + x3 = 0 + 50 Combine like terms: 0 + 50 = 50 2k2 + -25x + x3 = 50 Add '25x' to each side of the equation. 2k2 + -25x + 25x + x3 = 50 + 25x Combine like terms: -25x + 25x = 0 2k2 + 0 + x3 = 50 + 25x 2k2 + x3 = 50 + 25x Add '-1x3' to each side of the equation. 2k2 + x3 + -1x3 = 50 + 25x + -1x3 Combine like terms: x3 + -1x3 = 0 2k2 + 0 = 50 + 25x + -1x3 2k2 = 50 + 25x + -1x3 Divide each side by '2'. k2 = 25 + 12.5x + -0.5x3 Simplifying k2 = 25 + 12.5x + -0.5x3 Reorder the terms: -25 + k2 + -12.5x + 0.5x3 = 25 + 12.5x + -0.5x3 + -25 + -12.5x + 0.5x3 Reorder the terms: -25 + k2 + -12.5x + 0.5x3 = 25 + -25 + 12.5x + -12.5x + -0.5x3 + 0.5x3 Combine like terms: 25 + -25 = 0 -25 + k2 + -12.5x + 0.5x3 = 0 + 12.5x + -12.5x + -0.5x3 + 0.5x3 -25 + k2 + -12.5x + 0.5x3 = 12.5x + -12.5x + -0.5x3 + 0.5x3 Combine like terms: 12.5x + -12.5x = 0.0 -25 + k2 + -12.5x + 0.5x3 = 0.0 + -0.5x3 + 0.5x3 -25 + k2 + -12.5x + 0.5x3 = -0.5x3 + 0.5x3 Combine like terms: -0.5x3 + 0.5x3 = 0.0 -25 + k2 + -12.5x + 0.5x3 = 0.0 The solution to this equation could not be determined.
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