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Simplifying 36y6b + -64y4b = 0 Reorder the terms: -64by4 + 36by6 = 0 Solving -64by4 + 36by6 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '4by4'. 4by4(-16 + 9y2) = 0 Factor a difference between two squares. 4by4((4 + 3y)(-4 + 3y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'by4' equal to zero and attempt to solve: Simplifying by4 = 0 Solving by4 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying by4 = 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 '(4 + 3y)' equal to zero and attempt to solve: Simplifying 4 + 3y = 0 Solving 4 + 3y = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3y = 0 + -4 3y = 0 + -4 Combine like terms: 0 + -4 = -4 3y = -4 Add '-3y' to each side of the equation. 3y + -3y = -4 + -3y Combine like terms: 3y + -3y = 0 0 = -4 + -3y Simplifying 0 = -4 + -3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-4 + 3y)' equal to zero and attempt to solve: Simplifying -4 + 3y = 0 Solving -4 + 3y = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3y = 0 + 4 3y = 0 + 4 Combine like terms: 0 + 4 = 4 3y = 4 Add '-3y' to each side of the equation. 3y + -3y = 4 + -3y Combine like terms: 3y + -3y = 0 0 = 4 + -3y Simplifying 0 = 4 + -3y 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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