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Simplifying 4y(2a + -5ab + 7b) = 0 (2a * 4y + -5ab * 4y + 7b * 4y) = 0 Reorder the terms: (-20aby + 8ay + 28by) = 0 (-20aby + 8ay + 28by) = 0 Solving -20aby + 8ay + 28by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28by' to each side of the equation. -20aby + 8ay + 28by + -28by = 0 + -28by Combine like terms: 28by + -28by = 0 -20aby + 8ay + 0 = 0 + -28by -20aby + 8ay = 0 + -28by Remove the zero: -20aby + 8ay = -28by Combine like terms: -28by + 28by = 0 -20aby + 8ay + 28by = 0 Factor out the Greatest Common Factor (GCF), '4y'. 4y(-5ab + 2a + 7b) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing a to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(-5ab + 2a + 7b)' equal to zero and attempt to solve: Simplifying -5ab + 2a + 7b = 0 Reorder the terms: 2a + -5ab + 7b = 0 Solving 2a + -5ab + 7b = 0 Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 2a + -5ab + 7b + -7b = 0 + -7b Combine like terms: 7b + -7b = 0 2a + -5ab + 0 = 0 + -7b 2a + -5ab = 0 + -7b Remove the zero: 2a + -5ab = -7b 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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