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Simplifying 4a2x2 + 8x + 3 = 0 Reorder the terms: 3 + 4a2x2 + 8x = 0 Solving 3 + 4a2x2 + 8x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 4a2x2 + -3 + 8x = 0 + -3 Reorder the terms: 3 + -3 + 4a2x2 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4a2x2 + 8x = 0 + -3 4a2x2 + 8x = 0 + -3 Combine like terms: 0 + -3 = -3 4a2x2 + 8x = -3 Add '-8x' to each side of the equation. 4a2x2 + 8x + -8x = -3 + -8x Combine like terms: 8x + -8x = 0 4a2x2 + 0 = -3 + -8x 4a2x2 = -3 + -8x Divide each side by '4x2'. a2 = -0.75x-2 + -2x-1 Simplifying a2 = -0.75x-2 + -2x-1 Reorder the terms: a2 + 0.75x-2 + 2x-1 = -0.75x-2 + 0.75x-2 + -2x-1 + 2x-1 Combine like terms: -0.75x-2 + 0.75x-2 = 0.00 a2 + 0.75x-2 + 2x-1 = 0.00 + -2x-1 + 2x-1 a2 + 0.75x-2 + 2x-1 = -2x-1 + 2x-1 Combine like terms: -2x-1 + 2x-1 = 0 a2 + 0.75x-2 + 2x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-2'. x-2(a2x2 + 0.75 + 2x) = 0Subproblem 1
Set the factor 'x-2' equal to zero and attempt to solve: Simplifying x-2 = 0 Solving x-2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x-2' to each side of the equation. x-2 + -1x-2 = 0 + -1x-2 Remove the zero: 0 = -1x-2 Simplifying 0 = -1x-2 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 '(a2x2 + 0.75 + 2x)' equal to zero and attempt to solve: Simplifying a2x2 + 0.75 + 2x = 0 Reorder the terms: 0.75 + a2x2 + 2x = 0 Solving 0.75 + a2x2 + 2x = 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 + a2x2 + -0.75 + 2x = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + a2x2 + 2x = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + a2x2 + 2x = 0 + -0.75 a2x2 + 2x = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 a2x2 + 2x = -0.75 Add '-2x' to each side of the equation. a2x2 + 2x + -2x = -0.75 + -2x Combine like terms: 2x + -2x = 0 a2x2 + 0 = -0.75 + -2x a2x2 = -0.75 + -2x Divide each side by 'x2'. a2 = -0.75x-2 + -2x-1 Simplifying a2 = -0.75x-2 + -2x-1 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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