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Simplifying x3 + -5r2 + 6x + -2 = 0 Reorder the terms: -2 + -5r2 + 6x + x3 = 0 Solving -2 + -5r2 + 6x + x3 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -5r2 + 6x + 2 + x3 = 0 + 2 Reorder the terms: -2 + 2 + -5r2 + 6x + x3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5r2 + 6x + x3 = 0 + 2 -5r2 + 6x + x3 = 0 + 2 Combine like terms: 0 + 2 = 2 -5r2 + 6x + x3 = 2 Add '-6x' to each side of the equation. -5r2 + 6x + -6x + x3 = 2 + -6x Combine like terms: 6x + -6x = 0 -5r2 + 0 + x3 = 2 + -6x -5r2 + x3 = 2 + -6x Add '-1x3' to each side of the equation. -5r2 + x3 + -1x3 = 2 + -6x + -1x3 Combine like terms: x3 + -1x3 = 0 -5r2 + 0 = 2 + -6x + -1x3 -5r2 = 2 + -6x + -1x3 Divide each side by '-5'. r2 = -0.4 + 1.2x + 0.2x3 Simplifying r2 = -0.4 + 1.2x + 0.2x3 Reorder the terms: 0.4 + r2 + -1.2x + -0.2x3 = -0.4 + 1.2x + 0.2x3 + 0.4 + -1.2x + -0.2x3 Reorder the terms: 0.4 + r2 + -1.2x + -0.2x3 = -0.4 + 0.4 + 1.2x + -1.2x + 0.2x3 + -0.2x3 Combine like terms: -0.4 + 0.4 = 0.0 0.4 + r2 + -1.2x + -0.2x3 = 0.0 + 1.2x + -1.2x + 0.2x3 + -0.2x3 0.4 + r2 + -1.2x + -0.2x3 = 1.2x + -1.2x + 0.2x3 + -0.2x3 Combine like terms: 1.2x + -1.2x = 0.0 0.4 + r2 + -1.2x + -0.2x3 = 0.0 + 0.2x3 + -0.2x3 0.4 + r2 + -1.2x + -0.2x3 = 0.2x3 + -0.2x3 Combine like terms: 0.2x3 + -0.2x3 = 0.0 0.4 + r2 + -1.2x + -0.2x3 = 0.0 The solution to this equation could not be determined.
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