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Simplifying mx2 + 2(2 + m) * x + 4 = 0 Reorder the terms for easier multiplication: mx2 + 2x(2 + m) + 4 = 0 mx2 + (2 * 2x + m * 2x) + 4 = 0 Reorder the terms: mx2 + (2mx + 4x) + 4 = 0 mx2 + (2mx + 4x) + 4 = 0 Reorder the terms: 4 + 2mx + mx2 + 4x = 0 Solving 4 + 2mx + mx2 + 4x = 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 + 2mx + mx2 + -4 + 4x = 0 + -4 Reorder the terms: 4 + -4 + 2mx + mx2 + 4x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2mx + mx2 + 4x = 0 + -4 2mx + mx2 + 4x = 0 + -4 Combine like terms: 0 + -4 = -4 2mx + mx2 + 4x = -4 Add '-4x' to each side of the equation. 2mx + mx2 + 4x + -4x = -4 + -4x Combine like terms: 4x + -4x = 0 2mx + mx2 + 0 = -4 + -4x 2mx + mx2 = -4 + -4x Reorder the terms: 4 + 2mx + mx2 + 4x = -4 + -4x + 4 + 4x Reorder the terms: 4 + 2mx + mx2 + 4x = -4 + 4 + -4x + 4x Combine like terms: -4 + 4 = 0 4 + 2mx + mx2 + 4x = 0 + -4x + 4x 4 + 2mx + mx2 + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 4 + 2mx + mx2 + 4x = 0 The solution to this equation could not be determined.
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