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Simplifying log((2x2) + -7) = 2lg(x + -1) Reorder the terms: glo(-7 + (2x2)) = 2lg(x + -1) (-7 * glo + (2x2) * glo) = 2lg(x + -1) (-7glo + 2glox2) = 2lg(x + -1) Reorder the terms: -7glo + 2glox2 = 2gl(-1 + x) -7glo + 2glox2 = (-1 * 2gl + x * 2gl) -7glo + 2glox2 = (-2gl + 2glx) Solving -7glo + 2glox2 = -2gl + 2glx Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2gl' to each side of the equation. -7glo + 2gl + 2glox2 = -2gl + 2gl + 2glx Reorder the terms: 2gl + -7glo + 2glox2 = -2gl + 2gl + 2glx Combine like terms: -2gl + 2gl = 0 2gl + -7glo + 2glox2 = 0 + 2glx 2gl + -7glo + 2glox2 = 2glx Add '-2glx' to each side of the equation. 2gl + -7glo + 2glox2 + -2glx = 2glx + -2glx Combine like terms: 2glx + -2glx = 0 2gl + -7glo + 2glox2 + -2glx = 0 Factor out the Greatest Common Factor (GCF), 'gl'. gl(2 + -7o + 2ox2 + -2x) = 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 '(2 + -7o + 2ox2 + -2x)' equal to zero and attempt to solve: Simplifying 2 + -7o + 2ox2 + -2x = 0 Solving 2 + -7o + 2ox2 + -2x = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -7o + 2ox2 + -2 + -2x = 0 + -2 Reorder the terms: 2 + -2 + -7o + 2ox2 + -2x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7o + 2ox2 + -2x = 0 + -2 -7o + 2ox2 + -2x = 0 + -2 Combine like terms: 0 + -2 = -2 -7o + 2ox2 + -2x = -2 Add '7o' to each side of the equation. -7o + 2ox2 + 7o + -2x = -2 + 7o Reorder the terms: -7o + 7o + 2ox2 + -2x = -2 + 7o Combine like terms: -7o + 7o = 0 0 + 2ox2 + -2x = -2 + 7o 2ox2 + -2x = -2 + 7o Add '-2ox2' to each side of the equation. 2ox2 + -2ox2 + -2x = -2 + 7o + -2ox2 Combine like terms: 2ox2 + -2ox2 = 0 0 + -2x = -2 + 7o + -2ox2 -2x = -2 + 7o + -2ox2 Add '2x' to each side of the equation. -2x + 2x = -2 + 7o + -2ox2 + 2x Combine like terms: -2x + 2x = 0 0 = -2 + 7o + -2ox2 + 2x Simplifying 0 = -2 + 7o + -2ox2 + 2x 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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