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Simplifying 3(4m2 + 16x + 32) = 0 Reorder the terms: 3(32 + 4m2 + 16x) = 0 (32 * 3 + 4m2 * 3 + 16x * 3) = 0 (96 + 12m2 + 48x) = 0 Solving 96 + 12m2 + 48x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + 12m2 + -96 + 48x = 0 + -96 Reorder the terms: 96 + -96 + 12m2 + 48x = 0 + -96 Combine like terms: 96 + -96 = 0 0 + 12m2 + 48x = 0 + -96 12m2 + 48x = 0 + -96 Combine like terms: 0 + -96 = -96 12m2 + 48x = -96 Add '-48x' to each side of the equation. 12m2 + 48x + -48x = -96 + -48x Combine like terms: 48x + -48x = 0 12m2 + 0 = -96 + -48x 12m2 = -96 + -48x Divide each side by '12'. m2 = -8 + -4x Simplifying m2 = -8 + -4x Reorder the terms: 8 + m2 + 4x = -8 + -4x + 8 + 4x Reorder the terms: 8 + m2 + 4x = -8 + 8 + -4x + 4x Combine like terms: -8 + 8 = 0 8 + m2 + 4x = 0 + -4x + 4x 8 + m2 + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 8 + m2 + 4x = 0 The solution to this equation could not be determined.
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