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Simplifying mx2 + 2(m + -1) * x + (m + -1) = x2 + 3 Reorder the terms: mx2 + 2(-1 + m) * x + (m + -1) = x2 + 3 Reorder the terms for easier multiplication: mx2 + 2x(-1 + m) + (m + -1) = x2 + 3 mx2 + (-1 * 2x + m * 2x) + (m + -1) = x2 + 3 Reorder the terms: mx2 + (2mx + -2x) + (m + -1) = x2 + 3 mx2 + (2mx + -2x) + (m + -1) = x2 + 3 Reorder the terms: mx2 + 2mx + -2x + (-1 + m) = x2 + 3 Remove parenthesis around (-1 + m) mx2 + 2mx + -2x + -1 + m = x2 + 3 Reorder the terms: -1 + m + 2mx + mx2 + -2x = x2 + 3 Reorder the terms: -1 + m + 2mx + mx2 + -2x = 3 + x2 Solving -1 + m + 2mx + mx2 + -2x = 3 + x2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + m + 2mx + mx2 + 1 + -2x = 3 + 1 + x2 Reorder the terms: -1 + 1 + m + 2mx + mx2 + -2x = 3 + 1 + x2 Combine like terms: -1 + 1 = 0 0 + m + 2mx + mx2 + -2x = 3 + 1 + x2 m + 2mx + mx2 + -2x = 3 + 1 + x2 Combine like terms: 3 + 1 = 4 m + 2mx + mx2 + -2x = 4 + x2 Add '2x' to each side of the equation. m + 2mx + mx2 + -2x + 2x = 4 + 2x + x2 Combine like terms: -2x + 2x = 0 m + 2mx + mx2 + 0 = 4 + 2x + x2 m + 2mx + mx2 = 4 + 2x + x2 Reorder the terms: -4 + m + 2mx + mx2 + -2x + -1x2 = 4 + 2x + x2 + -4 + -2x + -1x2 Reorder the terms: -4 + m + 2mx + mx2 + -2x + -1x2 = 4 + -4 + 2x + -2x + x2 + -1x2 Combine like terms: 4 + -4 = 0 -4 + m + 2mx + mx2 + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2 -4 + m + 2mx + mx2 + -2x + -1x2 = 2x + -2x + x2 + -1x2 Combine like terms: 2x + -2x = 0 -4 + m + 2mx + mx2 + -2x + -1x2 = 0 + x2 + -1x2 -4 + m + 2mx + mx2 + -2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + m + 2mx + mx2 + -2x + -1x2 = 0 The solution to this equation could not be determined.
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