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Simplifying (m + 3) * x2 + -1(3m + 1) * x + m = 0 Reorder the terms: (3 + m) * x2 + -1(3m + 1) * x + m = 0 Reorder the terms for easier multiplication: x2(3 + m) + -1(3m + 1) * x + m = 0 (3 * x2 + m * x2) + -1(3m + 1) * x + m = 0 Reorder the terms: (mx2 + 3x2) + -1(3m + 1) * x + m = 0 (mx2 + 3x2) + -1(3m + 1) * x + m = 0 Reorder the terms: mx2 + 3x2 + -1(1 + 3m) * x + m = 0 Reorder the terms for easier multiplication: mx2 + 3x2 + -1x(1 + 3m) + m = 0 mx2 + 3x2 + (1 * -1x + 3m * -1x) + m = 0 Reorder the terms: mx2 + 3x2 + (-3mx + -1x) + m = 0 mx2 + 3x2 + (-3mx + -1x) + m = 0 Reorder the terms: m + -3mx + mx2 + -1x + 3x2 = 0 Solving m + -3mx + mx2 + -1x + 3x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'x' to each side of the equation. m + -3mx + mx2 + -1x + x + 3x2 = 0 + x Combine like terms: -1x + x = 0 m + -3mx + mx2 + 0 + 3x2 = 0 + x m + -3mx + mx2 + 3x2 = 0 + x Remove the zero: m + -3mx + mx2 + 3x2 = x Add '-3x2' to each side of the equation. m + -3mx + mx2 + 3x2 + -3x2 = x + -3x2 Combine like terms: 3x2 + -3x2 = 0 m + -3mx + mx2 + 0 = x + -3x2 m + -3mx + mx2 = x + -3x2 Reorder the terms: m + -3mx + mx2 + -1x + 3x2 = x + -1x + -3x2 + 3x2 Combine like terms: x + -1x = 0 m + -3mx + mx2 + -1x + 3x2 = 0 + -3x2 + 3x2 m + -3mx + mx2 + -1x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 m + -3mx + mx2 + -1x + 3x2 = 0 The solution to this equation could not be determined.
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