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Simplifying 5(x * x + 4m + 30) = 0 Multiply x * x 5(x2 + 4m + 30) = 0 Reorder the terms: 5(30 + 4m + x2) = 0 (30 * 5 + 4m * 5 + x2 * 5) = 0 (150 + 20m + 5x2) = 0 Solving 150 + 20m + 5x2 = 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 + 20m + -150 + 5x2 = 0 + -150 Reorder the terms: 150 + -150 + 20m + 5x2 = 0 + -150 Combine like terms: 150 + -150 = 0 0 + 20m + 5x2 = 0 + -150 20m + 5x2 = 0 + -150 Combine like terms: 0 + -150 = -150 20m + 5x2 = -150 Add '-5x2' to each side of the equation. 20m + 5x2 + -5x2 = -150 + -5x2 Combine like terms: 5x2 + -5x2 = 0 20m + 0 = -150 + -5x2 20m = -150 + -5x2 Divide each side by '20'. m = -7.5 + -0.25x2 Simplifying m = -7.5 + -0.25x2
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