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Simplifying 8x2 = 64x * lg(x) Multiply x * gl 8x2 = 64glx * x Multiply glx * x 8x2 = 64glx2 Solving 8x2 = 64glx2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64glx2' to each side of the equation. -64glx2 + 8x2 = 64glx2 + -64glx2 Combine like terms: 64glx2 + -64glx2 = 0 -64glx2 + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '8x2'. 8x2(-8gl + 1) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-8gl + 1)' equal to zero and attempt to solve: Simplifying -8gl + 1 = 0 Reorder the terms: 1 + -8gl = 0 Solving 1 + -8gl = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8gl = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8gl = 0 + -1 -8gl = 0 + -1 Combine like terms: 0 + -1 = -1 -8gl = -1 Add '8gl' to each side of the equation. -8gl + 8gl = -1 + 8gl Combine like terms: -8gl + 8gl = 0 0 = -1 + 8gl Simplifying 0 = -1 + 8gl The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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