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Simplifying 6x2 + 2mx + 150 = 0 Reorder the terms: 150 + 2mx + 6x2 = 0 Solving 150 + 2mx + 6x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + 2mx + -150 + 6x2 = 0 + -150 Reorder the terms: 150 + -150 + 2mx + 6x2 = 0 + -150 Combine like terms: 150 + -150 = 0 0 + 2mx + 6x2 = 0 + -150 2mx + 6x2 = 0 + -150 Combine like terms: 0 + -150 = -150 2mx + 6x2 = -150 Add '-6x2' to each side of the equation. 2mx + 6x2 + -6x2 = -150 + -6x2 Combine like terms: 6x2 + -6x2 = 0 2mx + 0 = -150 + -6x2 2mx = -150 + -6x2 Divide each side by '2x'. m = -75x-1 + -3x Simplifying m = -75x-1 + -3x
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