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Simplifying Iog(6)(-1x2 + -5x + 68) = log(6)(66 + -4x) Reorder the terms: goI * 6(68 + -5x + -1x2) = log(6)(66 + -4x) Reorder the terms for easier multiplication: 6goI(68 + -5x + -1x2) = log(6)(66 + -4x) (68 * 6goI + -5x * 6goI + -1x2 * 6goI) = log(6)(66 + -4x) (408goI + -30goxI + -6gox2I) = log(6)(66 + -4x) Reorder the terms for easier multiplication: 408goI + -30goxI + -6gox2I = 6glo(66 + -4x) 408goI + -30goxI + -6gox2I = (66 * 6glo + -4x * 6glo) 408goI + -30goxI + -6gox2I = (396glo + -24glox) Solving 408goI + -30goxI + -6gox2I = 396glo + -24glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-396glo' to each side of the equation. 408goI + -30goxI + -396glo + -6gox2I = 396glo + -396glo + -24glox Reorder the terms: -396glo + 408goI + -30goxI + -6gox2I = 396glo + -396glo + -24glox Combine like terms: 396glo + -396glo = 0 -396glo + 408goI + -30goxI + -6gox2I = 0 + -24glox -396glo + 408goI + -30goxI + -6gox2I = -24glox Add '24glox' to each side of the equation. -396glo + 408goI + -30goxI + 24glox + -6gox2I = -24glox + 24glox Reorder the terms: -396glo + 24glox + 408goI + -30goxI + -6gox2I = -24glox + 24glox Combine like terms: -24glox + 24glox = 0 -396glo + 24glox + 408goI + -30goxI + -6gox2I = 0 Factor out the Greatest Common Factor (GCF), '6go'. 6go(-66l + 4lx + 68I + -5xI + -1x2I) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-66l + 4lx + 68I + -5xI + -1x2I)' equal to zero and attempt to solve: Simplifying -66l + 4lx + 68I + -5xI + -1x2I = 0 Reorder the terms: 68I + -66l + 4lx + -5xI + -1x2I = 0 Solving 68I + -66l + 4lx + -5xI + -1x2I = 0 Move all terms containing g to the left, all other terms to the right. Add '-68I' to each side of the equation. 68I + -66l + 4lx + -5xI + -68I + -1x2I = 0 + -68I Reorder the terms: 68I + -68I + -66l + 4lx + -5xI + -1x2I = 0 + -68I Combine like terms: 68I + -68I = 0 0 + -66l + 4lx + -5xI + -1x2I = 0 + -68I -66l + 4lx + -5xI + -1x2I = 0 + -68I Remove the zero: -66l + 4lx + -5xI + -1x2I = -68I Add '66l' to each side of the equation. -66l + 4lx + -5xI + 66l + -1x2I = -68I + 66l Reorder the terms: -66l + 66l + 4lx + -5xI + -1x2I = -68I + 66l Combine like terms: -66l + 66l = 0 0 + 4lx + -5xI + -1x2I = -68I + 66l 4lx + -5xI + -1x2I = -68I + 66l Add '-4lx' to each side of the equation. 4lx + -5xI + -4lx + -1x2I = -68I + 66l + -4lx Reorder the terms: 4lx + -4lx + -5xI + -1x2I = -68I + 66l + -4lx Combine like terms: 4lx + -4lx = 0 0 + -5xI + -1x2I = -68I + 66l + -4lx -5xI + -1x2I = -68I + 66l + -4lx Add '5xI' to each side of the equation. -5xI + 5xI + -1x2I = -68I + 66l + -4lx + 5xI Combine like terms: -5xI + 5xI = 0 0 + -1x2I = -68I + 66l + -4lx + 5xI -1x2I = -68I + 66l + -4lx + 5xI Add 'x2I' to each side of the equation. -1x2I + x2I = -68I + 66l + -4lx + 5xI + x2I Combine like terms: -1x2I + x2I = 0 0 = -68I + 66l + -4lx + 5xI + x2I Simplifying 0 = -68I + 66l + -4lx + 5xI + x2I 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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