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Simplifying lg(sqrtx + 5) + lg(sqrtx + -2) = 12lg Reorder the terms: gl(5 + qrstx) + lg(sqrtx + -2) = 12lg (5 * gl + qrstx * gl) + lg(sqrtx + -2) = 12lg (5gl + glqrstx) + lg(sqrtx + -2) = 12lg Reorder the terms: 5gl + glqrstx + gl(-2 + qrstx) = 12lg 5gl + glqrstx + (-2 * gl + qrstx * gl) = 12lg 5gl + glqrstx + (-2gl + glqrstx) = 12lg Reorder the terms: 5gl + -2gl + glqrstx + glqrstx = 12lg Combine like terms: 5gl + -2gl = 3gl 3gl + glqrstx + glqrstx = 12lg Combine like terms: glqrstx + glqrstx = 2glqrstx 3gl + 2glqrstx = 12lg Solving 3gl + 2glqrstx = 12gl Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12gl' to each side of the equation. 3gl + -12gl + 2glqrstx = 12gl + -12gl Combine like terms: 3gl + -12gl = -9gl -9gl + 2glqrstx = 12gl + -12gl Combine like terms: 12gl + -12gl = 0 -9gl + 2glqrstx = 0 Factor out the Greatest Common Factor (GCF), 'gl'. gl(-9 + 2qrstx) = 0Subproblem 1
Set the factor 'gl' equal to zero and attempt to solve: Simplifying gl = 0 Solving gl = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gl = 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 '(-9 + 2qrstx)' equal to zero and attempt to solve: Simplifying -9 + 2qrstx = 0 Solving -9 + 2qrstx = 0 Move all terms containing g to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2qrstx = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2qrstx = 0 + 9 2qrstx = 0 + 9 Combine like terms: 0 + 9 = 9 2qrstx = 9 Add '-2qrstx' to each side of the equation. 2qrstx + -2qrstx = 9 + -2qrstx Combine like terms: 2qrstx + -2qrstx = 0 0 = 9 + -2qrstx Simplifying 0 = 9 + -2qrstx 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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