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Simplifying loga(4x + -7) + loga(x2 + 4) = 0 Reorder the terms: aglo(-7 + 4x) + loga(x2 + 4) = 0 (-7 * aglo + 4x * aglo) + loga(x2 + 4) = 0 (-7aglo + 4aglox) + loga(x2 + 4) = 0 Reorder the terms: -7aglo + 4aglox + aglo(4 + x2) = 0 -7aglo + 4aglox + (4 * aglo + x2 * aglo) = 0 -7aglo + 4aglox + (4aglo + aglox2) = 0 Reorder the terms: -7aglo + 4aglo + 4aglox + aglox2 = 0 Combine like terms: -7aglo + 4aglo = -3aglo -3aglo + 4aglox + aglox2 = 0 Solving -3aglo + 4aglox + aglox2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'aglo'. aglo(-3 + 4x + x2) = 0Subproblem 1
Set the factor 'aglo' equal to zero and attempt to solve: Simplifying aglo = 0 Solving aglo = 0 Move all terms containing a to the left, all other terms to the right. Simplifying aglo = 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 '(-3 + 4x + x2)' equal to zero and attempt to solve: Simplifying -3 + 4x + x2 = 0 Solving -3 + 4x + x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 4x + 3 + x2 = 0 + 3 Reorder the terms: -3 + 3 + 4x + x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4x + x2 = 0 + 3 4x + x2 = 0 + 3 Combine like terms: 0 + 3 = 3 4x + x2 = 3 Add '-4x' to each side of the equation. 4x + -4x + x2 = 3 + -4x Combine like terms: 4x + -4x = 0 0 + x2 = 3 + -4x x2 = 3 + -4x Add '-1x2' to each side of the equation. x2 + -1x2 = 3 + -4x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 3 + -4x + -1x2 Simplifying 0 = 3 + -4x + -1x2 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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