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Simplifying x3 + -4X2 + 5x + -53 = 0 Reorder the terms: -53 + -4X2 + 5x + x3 = 0 Solving -53 + -4X2 + 5x + x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '53' to each side of the equation. -53 + -4X2 + 5x + 53 + x3 = 0 + 53 Reorder the terms: -53 + 53 + -4X2 + 5x + x3 = 0 + 53 Combine like terms: -53 + 53 = 0 0 + -4X2 + 5x + x3 = 0 + 53 -4X2 + 5x + x3 = 0 + 53 Combine like terms: 0 + 53 = 53 -4X2 + 5x + x3 = 53 Add '-5x' to each side of the equation. -4X2 + 5x + -5x + x3 = 53 + -5x Combine like terms: 5x + -5x = 0 -4X2 + 0 + x3 = 53 + -5x -4X2 + x3 = 53 + -5x Add '-1x3' to each side of the equation. -4X2 + x3 + -1x3 = 53 + -5x + -1x3 Combine like terms: x3 + -1x3 = 0 -4X2 + 0 = 53 + -5x + -1x3 -4X2 = 53 + -5x + -1x3 Divide each side by '-4'. X2 = -13.25 + 1.25x + 0.25x3 Simplifying X2 = -13.25 + 1.25x + 0.25x3 Reorder the terms: 13.25 + X2 + -1.25x + -0.25x3 = -13.25 + 1.25x + 0.25x3 + 13.25 + -1.25x + -0.25x3 Reorder the terms: 13.25 + X2 + -1.25x + -0.25x3 = -13.25 + 13.25 + 1.25x + -1.25x + 0.25x3 + -0.25x3 Combine like terms: -13.25 + 13.25 = 0.00 13.25 + X2 + -1.25x + -0.25x3 = 0.00 + 1.25x + -1.25x + 0.25x3 + -0.25x3 13.25 + X2 + -1.25x + -0.25x3 = 1.25x + -1.25x + 0.25x3 + -0.25x3 Combine like terms: 1.25x + -1.25x = 0.00 13.25 + X2 + -1.25x + -0.25x3 = 0.00 + 0.25x3 + -0.25x3 13.25 + X2 + -1.25x + -0.25x3 = 0.25x3 + -0.25x3 Combine like terms: 0.25x3 + -0.25x3 = 0.00 13.25 + X2 + -1.25x + -0.25x3 = 0.00 The solution to this equation could not be determined.
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