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Simplifying (m + 1) * x2 + 5x + -21 = 0 Reorder the terms: (1 + m) * x2 + 5x + -21 = 0 Reorder the terms for easier multiplication: x2(1 + m) + 5x + -21 = 0 (1 * x2 + m * x2) + 5x + -21 = 0 Reorder the terms: (mx2 + 1x2) + 5x + -21 = 0 (mx2 + 1x2) + 5x + -21 = 0 Reorder the terms: -21 + mx2 + 5x + 1x2 = 0 Solving -21 + mx2 + 5x + 1x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '21' to each side of the equation. -21 + mx2 + 5x + 21 + 1x2 = 0 + 21 Reorder the terms: -21 + 21 + mx2 + 5x + 1x2 = 0 + 21 Combine like terms: -21 + 21 = 0 0 + mx2 + 5x + 1x2 = 0 + 21 mx2 + 5x + 1x2 = 0 + 21 Combine like terms: 0 + 21 = 21 mx2 + 5x + 1x2 = 21 Add '-5x' to each side of the equation. mx2 + 5x + -5x + 1x2 = 21 + -5x Combine like terms: 5x + -5x = 0 mx2 + 0 + 1x2 = 21 + -5x mx2 + 1x2 = 21 + -5x Add '-1x2' to each side of the equation. mx2 + 1x2 + -1x2 = 21 + -5x + -1x2 Combine like terms: 1x2 + -1x2 = 0 mx2 + 0 = 21 + -5x + -1x2 mx2 = 21 + -5x + -1x2 Divide each side by 'x2'. m = 21x-2 + -5x-1 + -1 Simplifying m = 21x-2 + -5x-1 + -1 Reorder the terms: m = -1 + 21x-2 + -5x-1
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