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Simplifying 10a4 + -10b4 = 0 Solving 10a4 + -10b4 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10b4' to each side of the equation. 10a4 + -10b4 + 10b4 = 0 + 10b4 Combine like terms: -10b4 + 10b4 = 0 10a4 + 0 = 0 + 10b4 10a4 = 0 + 10b4 Remove the zero: 10a4 = 10b4 Divide each side by '10'. a4 = b4 Simplifying a4 = b4 Combine like terms: b4 + -1b4 = 0 a4 + -1b4 = 0 Factor a difference between two squares. (a2 + b2)(a2 + -1b2) = 0 Factor a difference between two squares. (a2 + b2)((a + b)(a + -1b)) = 0Subproblem 1
Set the factor '(a2 + b2)' equal to zero and attempt to solve: Simplifying a2 + b2 = 0 Solving a2 + b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b2' to each side of the equation. a2 + b2 + -1b2 = 0 + -1b2 Combine like terms: b2 + -1b2 = 0 a2 + 0 = 0 + -1b2 a2 = 0 + -1b2 Remove the zero: a2 = -1b2 Simplifying a2 = -1b2 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 '(a + b)' equal to zero and attempt to solve: Simplifying a + b = 0 Solving a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 a + 0 = 0 + -1b a = 0 + -1b Remove the zero: a = -1b Simplifying a = -1bSubproblem 3
Set the factor '(a + -1b)' equal to zero and attempt to solve: Simplifying a + -1b = 0 Solving a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. a + -1b + b = 0 + b Combine like terms: -1b + b = 0 a + 0 = 0 + b a = 0 + b Remove the zero: a = b Simplifying a = bSolution
a = {-1b, b}
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