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Simplifying 8x2 + -1(m + -1) * x + 32 = 0 Reorder the terms: 8x2 + -1(-1 + m) * x + 32 = 0 Reorder the terms for easier multiplication: 8x2 + -1x(-1 + m) + 32 = 0 8x2 + (-1 * -1x + m * -1x) + 32 = 0 Reorder the terms: 8x2 + (-1mx + 1x) + 32 = 0 8x2 + (-1mx + 1x) + 32 = 0 Reorder the terms: 32 + -1mx + 1x + 8x2 = 0 Solving 32 + -1mx + 1x + 8x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -1mx + 1x + -32 + 8x2 = 0 + -32 Reorder the terms: 32 + -32 + -1mx + 1x + 8x2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -1mx + 1x + 8x2 = 0 + -32 -1mx + 1x + 8x2 = 0 + -32 Combine like terms: 0 + -32 = -32 -1mx + 1x + 8x2 = -32 Add '-1x' to each side of the equation. -1mx + 1x + -1x + 8x2 = -32 + -1x Combine like terms: 1x + -1x = 0 -1mx + 0 + 8x2 = -32 + -1x -1mx + 8x2 = -32 + -1x Add '-8x2' to each side of the equation. -1mx + 8x2 + -8x2 = -32 + -1x + -8x2 Combine like terms: 8x2 + -8x2 = 0 -1mx + 0 = -32 + -1x + -8x2 -1mx = -32 + -1x + -8x2 Divide each side by '-1x'. m = 32x-1 + 1 + 8x Simplifying m = 32x-1 + 1 + 8x Reorder the terms: m = 1 + 32x-1 + 8x
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