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Simplifying log[2]((2x2) + 4x) = log[2](12) Reorder the terms: glo * 2(4x + (2x2)) = log[2](12) Reorder the terms for easier multiplication: 2glo(4x + (2x2)) = log[2](12) (4x * 2glo + (2x2) * 2glo) = log[2](12) (8glox + 4glox2) = log[2](12) Reorder the terms for easier multiplication: 8glox + 4glox2 = 2 * 12glo Multiply 2 * 12 8glox + 4glox2 = 24glo Solving 8glox + 4glox2 = 24glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-24glo' to each side of the equation. 8glox + -24glo + 4glox2 = 24glo + -24glo Reorder the terms: -24glo + 8glox + 4glox2 = 24glo + -24glo Combine like terms: 24glo + -24glo = 0 -24glo + 8glox + 4glox2 = 0 Factor out the Greatest Common Factor (GCF), '4glo'. 4glo(-6 + 2x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(-6 + 2x + x2)' equal to zero and attempt to solve: Simplifying -6 + 2x + x2 = 0 Solving -6 + 2x + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2x + 6 + x2 = 0 + 6 Reorder the terms: -6 + 6 + 2x + x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2x + x2 = 0 + 6 2x + x2 = 0 + 6 Combine like terms: 0 + 6 = 6 2x + x2 = 6 Add '-2x' to each side of the equation. 2x + -2x + x2 = 6 + -2x Combine like terms: 2x + -2x = 0 0 + x2 = 6 + -2x x2 = 6 + -2x Add '-1x2' to each side of the equation. x2 + -1x2 = 6 + -2x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 6 + -2x + -1x2 Simplifying 0 = 6 + -2x + -1x2 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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