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Simplifying 75a4b + -147b3 = 0 Solving 75a4b + -147b3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '147b3' to each side of the equation. 75a4b + -147b3 + 147b3 = 0 + 147b3 Combine like terms: -147b3 + 147b3 = 0 75a4b + 0 = 0 + 147b3 75a4b = 0 + 147b3 Remove the zero: 75a4b = 147b3 Divide each side by '75b'. a4 = 1.96b2 Simplifying a4 = 1.96b2 Combine like terms: 1.96b2 + -1.96b2 = 0.00 a4 + -1.96b2 = 0.00 Factor a difference between two squares. (a2 + 1.4b)(a2 + -1.4b) = 0.00Subproblem 1
Set the factor '(a2 + 1.4b)' equal to zero and attempt to solve: Simplifying a2 + 1.4b = 0 Solving a2 + 1.4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1.4b' to each side of the equation. a2 + 1.4b + -1.4b = 0 + -1.4b Combine like terms: 1.4b + -1.4b = 0.0 a2 + 0.0 = 0 + -1.4b a2 = 0 + -1.4b Remove the zero: a2 = -1.4b Simplifying a2 = -1.4b 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 '(a2 + -1.4b)' equal to zero and attempt to solve: Simplifying a2 + -1.4b = 0 Solving a2 + -1.4b = 0 Move all terms containing a to the left, all other terms to the right. Add '1.4b' to each side of the equation. a2 + -1.4b + 1.4b = 0 + 1.4b Combine like terms: -1.4b + 1.4b = 0.0 a2 + 0.0 = 0 + 1.4b a2 = 0 + 1.4b Remove the zero: a2 = 1.4b Simplifying a2 = 1.4b 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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