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Simplifying x2 + (m + 1) * x + 32 = 0 Reorder the terms: x2 + (1 + m) * x + 32 = 0 Reorder the terms for easier multiplication: x2 + x(1 + m) + 32 = 0 x2 + (1 * x + m * x) + 32 = 0 Reorder the terms: x2 + (mx + 1x) + 32 = 0 x2 + (mx + 1x) + 32 = 0 Reorder the terms: 32 + mx + 1x + x2 = 0 Solving 32 + mx + 1x + x2 = 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 + mx + 1x + -32 + x2 = 0 + -32 Reorder the terms: 32 + -32 + mx + 1x + x2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + mx + 1x + x2 = 0 + -32 mx + 1x + x2 = 0 + -32 Combine like terms: 0 + -32 = -32 mx + 1x + x2 = -32 Add '-1x' to each side of the equation. mx + 1x + -1x + x2 = -32 + -1x Combine like terms: 1x + -1x = 0 mx + 0 + x2 = -32 + -1x mx + x2 = -32 + -1x Add '-1x2' to each side of the equation. mx + x2 + -1x2 = -32 + -1x + -1x2 Combine like terms: x2 + -1x2 = 0 mx + 0 = -32 + -1x + -1x2 mx = -32 + -1x + -1x2 Divide each side by 'x'. m = -32x-1 + -1 + -1x Simplifying m = -32x-1 + -1 + -1x Reorder the terms: m = -1 + -32x-1 + -1x
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