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Simplifying (-1a + -5b + 5) * 7ab = 0 Reorder the terms: (5 + -1a + -5b) * 7ab = 0 Reorder the terms for easier multiplication: 7ab(5 + -1a + -5b) = 0 (5 * 7ab + -1a * 7ab + -5b * 7ab) = 0 Reorder the terms: (35ab + -35ab2 + -7a2b) = 0 (35ab + -35ab2 + -7a2b) = 0 Solving 35ab + -35ab2 + -7a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '7ab'. 7ab(5 + -5b + -1a) = 0 Ignore the factor 7.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 '(5 + -5b + -1a)' equal to zero and attempt to solve: Simplifying 5 + -5b + -1a = 0 Reorder the terms: 5 + -1a + -5b = 0 Solving 5 + -1a + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -1a + -5 + -5b = 0 + -5 Reorder the terms: 5 + -5 + -1a + -5b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a + -5b = 0 + -5 -1a + -5b = 0 + -5 Combine like terms: 0 + -5 = -5 -1a + -5b = -5 Add '5b' to each side of the equation. -1a + -5b + 5b = -5 + 5b Combine like terms: -5b + 5b = 0 -1a + 0 = -5 + 5b -1a = -5 + 5b Divide each side by '-1'. a = 5 + -5b Simplifying a = 5 + -5bSolution
a = {5 + -5b}
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