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Simplifying 64a4 + -16b2 = 0 Solving 64a4 + -16b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16b2' to each side of the equation. 64a4 + -16b2 + 16b2 = 0 + 16b2 Combine like terms: -16b2 + 16b2 = 0 64a4 + 0 = 0 + 16b2 64a4 = 0 + 16b2 Remove the zero: 64a4 = 16b2 Divide each side by '64'. a4 = 0.25b2 Simplifying a4 = 0.25b2 Combine like terms: 0.25b2 + -0.25b2 = 0.00 a4 + -0.25b2 = 0.00 Factor a difference between two squares. (a2 + 0.5b)(a2 + -0.5b) = 0.00Subproblem 1
Set the factor '(a2 + 0.5b)' equal to zero and attempt to solve: Simplifying a2 + 0.5b = 0 Solving a2 + 0.5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-0.5b' to each side of the equation. a2 + 0.5b + -0.5b = 0 + -0.5b Combine like terms: 0.5b + -0.5b = 0.0 a2 + 0.0 = 0 + -0.5b a2 = 0 + -0.5b Remove the zero: a2 = -0.5b Simplifying a2 = -0.5b 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 + -0.5b)' equal to zero and attempt to solve: Simplifying a2 + -0.5b = 0 Solving a2 + -0.5b = 0 Move all terms containing a to the left, all other terms to the right. Add '0.5b' to each side of the equation. a2 + -0.5b + 0.5b = 0 + 0.5b Combine like terms: -0.5b + 0.5b = 0.0 a2 + 0.0 = 0 + 0.5b a2 = 0 + 0.5b Remove the zero: a2 = 0.5b Simplifying a2 = 0.5b 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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