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Simplifying 5x2 + -4 + -3x2 + 8x + 4m = 0 Reorder the terms: -4 + 4m + 8x + 5x2 + -3x2 = 0 Combine like terms: 5x2 + -3x2 = 2x2 -4 + 4m + 8x + 2x2 = 0 Solving -4 + 4m + 8x + 2x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4m + 8x + 4 + 2x2 = 0 + 4 Reorder the terms: -4 + 4 + 4m + 8x + 2x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 4m + 8x + 2x2 = 0 + 4 4m + 8x + 2x2 = 0 + 4 Combine like terms: 0 + 4 = 4 4m + 8x + 2x2 = 4 Add '-8x' to each side of the equation. 4m + 8x + -8x + 2x2 = 4 + -8x Combine like terms: 8x + -8x = 0 4m + 0 + 2x2 = 4 + -8x 4m + 2x2 = 4 + -8x Add '-2x2' to each side of the equation. 4m + 2x2 + -2x2 = 4 + -8x + -2x2 Combine like terms: 2x2 + -2x2 = 0 4m + 0 = 4 + -8x + -2x2 4m = 4 + -8x + -2x2 Divide each side by '4'. m = 1 + -2x + -0.5x2 Simplifying m = 1 + -2x + -0.5x2
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