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Simplifying x2 + 3x + 5m + -2 = 0 Reorder the terms: -2 + 5m + 3x + x2 = 0 Solving -2 + 5m + 3x + x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 5m + 3x + 2 + x2 = 0 + 2 Reorder the terms: -2 + 2 + 5m + 3x + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5m + 3x + x2 = 0 + 2 5m + 3x + x2 = 0 + 2 Combine like terms: 0 + 2 = 2 5m + 3x + x2 = 2 Add '-3x' to each side of the equation. 5m + 3x + -3x + x2 = 2 + -3x Combine like terms: 3x + -3x = 0 5m + 0 + x2 = 2 + -3x 5m + x2 = 2 + -3x Add '-1x2' to each side of the equation. 5m + x2 + -1x2 = 2 + -3x + -1x2 Combine like terms: x2 + -1x2 = 0 5m + 0 = 2 + -3x + -1x2 5m = 2 + -3x + -1x2 Divide each side by '5'. m = 0.4 + -0.6x + -0.2x2 Simplifying m = 0.4 + -0.6x + -0.2x2
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