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Simplifying 4x2g + -8xg + 16x2g2 = 0 Reorder the terms: -8gx + 4gx2 + 16g2x2 = 0 Solving -8gx + 4gx2 + 16g2x2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '4gx'. 4gx(-2 + x + 4gx) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'gx' equal to zero and attempt to solve: Simplifying gx = 0 Solving gx = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gx = 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 '(-2 + x + 4gx)' equal to zero and attempt to solve: Simplifying -2 + x + 4gx = 0 Reorder the terms: -2 + 4gx + x = 0 Solving -2 + 4gx + x = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 4gx + 2 + x = 0 + 2 Reorder the terms: -2 + 2 + 4gx + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4gx + x = 0 + 2 4gx + x = 0 + 2 Combine like terms: 0 + 2 = 2 4gx + x = 2 Add '-1x' to each side of the equation. 4gx + x + -1x = 2 + -1x Combine like terms: x + -1x = 0 4gx + 0 = 2 + -1x 4gx = 2 + -1x Divide each side by '4x'. g = 0.5x-1 + -0.25 Simplifying g = 0.5x-1 + -0.25 Reorder the terms: g = -0.25 + 0.5x-1Solution
g = {-0.25 + 0.5x-1}
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