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Simplifying -80a6 + 45 = 0 Reorder the terms: 45 + -80a6 = 0 Solving 45 + -80a6 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -80a6 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -80a6 = 0 + -45 -80a6 = 0 + -45 Combine like terms: 0 + -45 = -45 -80a6 = -45 Divide each side by '-80'. a6 = 0.5625 Simplifying a6 = 0.5625 Reorder the terms: -0.5625 + a6 = 0.5625 + -0.5625 Combine like terms: 0.5625 + -0.5625 = 0.0000 -0.5625 + a6 = 0.0000 Factor a difference between two squares. (0.75 + a3)(-0.75 + a3) = 0.0000Subproblem 1
Set the factor '(0.75 + a3)' equal to zero and attempt to solve: Simplifying 0.75 + a3 = 0 Solving 0.75 + a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + a3 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + a3 = 0 + -0.75 a3 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 a3 = -0.75 Simplifying a3 = -0.75 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 '(-0.75 + a3)' equal to zero and attempt to solve: Simplifying -0.75 + a3 = 0 Solving -0.75 + a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + a3 = 0 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + a3 = 0 + 0.75 a3 = 0 + 0.75 Combine like terms: 0 + 0.75 = 0.75 a3 = 0.75 Simplifying a3 = 0.75 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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