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Simplifying 5abx + 6ab = 10ab + 3abx Reorder the terms: 6ab + 5abx = 10ab + 3abx Solving 6ab + 5abx = 10ab + 3abx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10ab' to each side of the equation. 6ab + -10ab + 5abx = 10ab + -10ab + 3abx Combine like terms: 6ab + -10ab = -4ab -4ab + 5abx = 10ab + -10ab + 3abx Combine like terms: 10ab + -10ab = 0 -4ab + 5abx = 0 + 3abx -4ab + 5abx = 3abx Add '-3abx' to each side of the equation. -4ab + 5abx + -3abx = 3abx + -3abx Combine like terms: 5abx + -3abx = 2abx -4ab + 2abx = 3abx + -3abx Combine like terms: 3abx + -3abx = 0 -4ab + 2abx = 0 Factor out the Greatest Common Factor (GCF), '2ab'. 2ab(-2 + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Add '-1x' to each side of the equation. x + -1x = 2 + -1x Combine like terms: x + -1x = 0 0 = 2 + -1x Simplifying 0 = 2 + -1x 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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