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Simplifying (4x + 3)(54e6x) + -54e6x = 0 Reorder the terms: (3 + 4x)(54e6x) + -54e6x = 0 Remove parenthesis around (54e6x) (3 + 4x) * 54e6x + -54e6x = 0 Reorder the terms for easier multiplication: 54e6x(3 + 4x) + -54e6x = 0 (3 * 54e6x + 4x * 54e6x) + -54e6x = 0 (162e6x + 216e6x2) + -54e6x = 0 Reorder the terms: 162e6x + -54e6x + 216e6x2 = 0 Combine like terms: 162e6x + -54e6x = 108e6x 108e6x + 216e6x2 = 0 Solving 108e6x + 216e6x2 = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '108e6x'. 108e6x(1 + 2x) = 0 Ignore the factor 108.Subproblem 1
Set the factor 'e6x' equal to zero and attempt to solve: Simplifying e6x = 0 Solving e6x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e6x = 0 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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Add '-2x' to each side of the equation. 2x + -2x = -1 + -2x Combine like terms: 2x + -2x = 0 0 = -1 + -2x Simplifying 0 = -1 + -2x 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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