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Simplifying (2x + -1)(5d + 5) = 0 Reorder the terms: (-1 + 2x)(5d + 5) = 0 Reorder the terms: (-1 + 2x)(5 + 5d) = 0 Multiply (-1 + 2x) * (5 + 5d) (-1(5 + 5d) + 2x * (5 + 5d)) = 0 ((5 * -1 + 5d * -1) + 2x * (5 + 5d)) = 0 ((-5 + -5d) + 2x * (5 + 5d)) = 0 (-5 + -5d + (5 * 2x + 5d * 2x)) = 0 Reorder the terms: (-5 + -5d + (10dx + 10x)) = 0 (-5 + -5d + (10dx + 10x)) = 0 (-5 + -5d + 10dx + 10x) = 0 Solving -5 + -5d + 10dx + 10x = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -5d + 10dx + 5 + 10x = 0 + 5 Reorder the terms: -5 + 5 + -5d + 10dx + 10x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -5d + 10dx + 10x = 0 + 5 -5d + 10dx + 10x = 0 + 5 Combine like terms: 0 + 5 = 5 -5d + 10dx + 10x = 5 Add '-10x' to each side of the equation. -5d + 10dx + 10x + -10x = 5 + -10x Combine like terms: 10x + -10x = 0 -5d + 10dx + 0 = 5 + -10x -5d + 10dx = 5 + -10x Reorder the terms: -5 + -5d + 10dx + 10x = 5 + -10x + -5 + 10x Reorder the terms: -5 + -5d + 10dx + 10x = 5 + -5 + -10x + 10x Combine like terms: 5 + -5 = 0 -5 + -5d + 10dx + 10x = 0 + -10x + 10x -5 + -5d + 10dx + 10x = -10x + 10x Combine like terms: -10x + 10x = 0 -5 + -5d + 10dx + 10x = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-1 + -1d + 2dx + 2x) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + -1d + 2dx + 2x)' equal to zero and attempt to solve: Simplifying -1 + -1d + 2dx + 2x = 0 Solving -1 + -1d + 2dx + 2x = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1d + 2dx + 1 + 2x = 0 + 1 Reorder the terms: -1 + 1 + -1d + 2dx + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1d + 2dx + 2x = 0 + 1 -1d + 2dx + 2x = 0 + 1 Combine like terms: 0 + 1 = 1 -1d + 2dx + 2x = 1 Add '-2x' to each side of the equation. -1d + 2dx + 2x + -2x = 1 + -2x Combine like terms: 2x + -2x = 0 -1d + 2dx + 0 = 1 + -2x -1d + 2dx = 1 + -2x 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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