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Simplifying 0 = x2 + mx + 5x + 5m + 1 Reorder the terms: 0 = 1 + 5m + mx + 5x + x2 Solving 0 = 1 + 5m + mx + 5x + x2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 0 + -5m = 1 + 5m + mx + 5x + -5m + x2 Remove the zero: -5m = 1 + 5m + mx + 5x + -5m + x2 Reorder the terms: -5m = 1 + 5m + -5m + mx + 5x + x2 Combine like terms: 5m + -5m = 0 -5m = 1 + 0 + mx + 5x + x2 -5m = 1 + mx + 5x + x2 Add '-1mx' to each side of the equation. -5m + -1mx = 1 + mx + 5x + -1mx + x2 Reorder the terms: -5m + -1mx = 1 + mx + -1mx + 5x + x2 Combine like terms: mx + -1mx = 0 -5m + -1mx = 1 + 0 + 5x + x2 -5m + -1mx = 1 + 5x + x2 Reorder the terms: -1 + -5m + -1mx + -5x + -1x2 = 1 + 5x + x2 + -1 + -5x + -1x2 Reorder the terms: -1 + -5m + -1mx + -5x + -1x2 = 1 + -1 + 5x + -5x + x2 + -1x2 Combine like terms: 1 + -1 = 0 -1 + -5m + -1mx + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2 -1 + -5m + -1mx + -5x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 -1 + -5m + -1mx + -5x + -1x2 = 0 + x2 + -1x2 -1 + -5m + -1mx + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1 + -5m + -1mx + -5x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 5m + mx + 5x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 5m + mx + 5x + x2)' equal to zero and attempt to solve: Simplifying 1 + 5m + mx + 5x + x2 = 0 Solving 1 + 5m + mx + 5x + x2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 5m + mx + 5x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 5m + mx + 5x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5m + mx + 5x + x2 = 0 + -1 5m + mx + 5x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 5m + mx + 5x + x2 = -1 Add '-5x' to each side of the equation. 5m + mx + 5x + -5x + x2 = -1 + -5x Combine like terms: 5x + -5x = 0 5m + mx + 0 + x2 = -1 + -5x 5m + mx + x2 = -1 + -5x Add '-1x2' to each side of the equation. 5m + mx + x2 + -1x2 = -1 + -5x + -1x2 Combine like terms: x2 + -1x2 = 0 5m + mx + 0 = -1 + -5x + -1x2 5m + mx = -1 + -5x + -1x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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