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Simplifying 5b + 2a = bx + 2a Reorder the terms: 2a + 5b = bx + 2a Reorder the terms: 2a + 5b = 2a + bx Add '-2a' to each side of the equation. 2a + -2a + 5b = 2a + -2a + bx Combine like terms: 2a + -2a = 0 0 + 5b = 2a + -2a + bx 5b = 2a + -2a + bx Combine like terms: 2a + -2a = 0 5b = 0 + bx 5b = bx Solving 5b = bx Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1bx' to each side of the equation. 5b + -1bx = bx + -1bx Combine like terms: bx + -1bx = 0 5b + -1bx = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(5 + -1x) = 0Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Add 'x' to each side of the equation. -1x + x = -5 + x Combine like terms: -1x + x = 0 0 = -5 + x Simplifying 0 = -5 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
b = {0}
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