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Simplifying Log(x + 1) + log(x + 3) = log(6x2 + -6) Reorder the terms: goL(1 + x) + log(x + 3) = log(6x2 + -6) (1 * goL + x * goL) + log(x + 3) = log(6x2 + -6) (1goL + goxL) + log(x + 3) = log(6x2 + -6) Reorder the terms: 1goL + goxL + glo(3 + x) = log(6x2 + -6) 1goL + goxL + (3 * glo + x * glo) = log(6x2 + -6) 1goL + goxL + (3glo + glox) = log(6x2 + -6) Reorder the terms: 3glo + glox + 1goL + goxL = log(6x2 + -6) Reorder the terms: 3glo + glox + 1goL + goxL = glo(-6 + 6x2) 3glo + glox + 1goL + goxL = (-6 * glo + 6x2 * glo) 3glo + glox + 1goL + goxL = (-6glo + 6glox2) Solving 3glo + glox + 1goL + goxL = -6glo + 6glox2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '6glo' to each side of the equation. 3glo + glox + 1goL + 6glo + goxL = -6glo + 6glo + 6glox2 Reorder the terms: 3glo + 6glo + glox + 1goL + goxL = -6glo + 6glo + 6glox2 Combine like terms: 3glo + 6glo = 9glo 9glo + glox + 1goL + goxL = -6glo + 6glo + 6glox2 Combine like terms: -6glo + 6glo = 0 9glo + glox + 1goL + goxL = 0 + 6glox2 9glo + glox + 1goL + goxL = 6glox2 Add '-6glox2' to each side of the equation. 9glo + glox + 1goL + -6glox2 + goxL = 6glox2 + -6glox2 Reorder the terms: 9glo + glox + -6glox2 + 1goL + goxL = 6glox2 + -6glox2 Combine like terms: 6glox2 + -6glox2 = 0 9glo + glox + -6glox2 + 1goL + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(9l + lx + -6lx2 + L + xL) = 0Subproblem 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 '(9l + lx + -6lx2 + L + xL)' equal to zero and attempt to solve: Simplifying 9l + lx + -6lx2 + L + xL = 0 Reorder the terms: L + 9l + lx + -6lx2 + xL = 0 Solving L + 9l + lx + -6lx2 + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-1L' to each side of the equation. L + 9l + lx + -6lx2 + -1L + xL = 0 + -1L Reorder the terms: L + -1L + 9l + lx + -6lx2 + xL = 0 + -1L Combine like terms: L + -1L = 0 0 + 9l + lx + -6lx2 + xL = 0 + -1L 9l + lx + -6lx2 + xL = 0 + -1L Remove the zero: 9l + lx + -6lx2 + xL = -1L Add '-9l' to each side of the equation. 9l + lx + -6lx2 + -9l + xL = -1L + -9l Reorder the terms: 9l + -9l + lx + -6lx2 + xL = -1L + -9l Combine like terms: 9l + -9l = 0 0 + lx + -6lx2 + xL = -1L + -9l lx + -6lx2 + xL = -1L + -9l Add '-1lx' to each side of the equation. lx + -6lx2 + -1lx + xL = -1L + -9l + -1lx Reorder the terms: lx + -1lx + -6lx2 + xL = -1L + -9l + -1lx Combine like terms: lx + -1lx = 0 0 + -6lx2 + xL = -1L + -9l + -1lx -6lx2 + xL = -1L + -9l + -1lx Add '6lx2' to each side of the equation. -6lx2 + 6lx2 + xL = -1L + -9l + -1lx + 6lx2 Combine like terms: -6lx2 + 6lx2 = 0 0 + xL = -1L + -9l + -1lx + 6lx2 xL = -1L + -9l + -1lx + 6lx2 Add '-1xL' to each side of the equation. xL + -1xL = -1L + -9l + -1lx + 6lx2 + -1xL Combine like terms: xL + -1xL = 0 0 = -1L + -9l + -1lx + 6lx2 + -1xL Simplifying 0 = -1L + -9l + -1lx + 6lx2 + -1xL 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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