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Simplifying Log9(-11 + 2) = log9(x2 + 30) Combine like terms: -11 + 2 = -9 g9oL(-9) = log9(x2 + 30) Reorder the terms for easier multiplication: -9g9oL = log9(x2 + 30) Reorder the terms: -9g9oL = g9lo(30 + x2) -9g9oL = (30 * g9lo + x2 * g9lo) -9g9oL = (30g9lo + g9lox2) Solving -9g9oL = 30g9lo + g9lox2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-30g9lo' to each side of the equation. -30g9lo + -9g9oL = 30g9lo + -30g9lo + g9lox2 Combine like terms: 30g9lo + -30g9lo = 0 -30g9lo + -9g9oL = 0 + g9lox2 -30g9lo + -9g9oL = g9lox2 Add '-1g9lox2' to each side of the equation. -30g9lo + -1g9lox2 + -9g9oL = g9lox2 + -1g9lox2 Combine like terms: g9lox2 + -1g9lox2 = 0 -30g9lo + -1g9lox2 + -9g9oL = 0 Factor out the Greatest Common Factor (GCF), '-1g9o'. -1g9o(30l + lx2 + 9L) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'g9o' equal to zero and attempt to solve: Simplifying g9o = 0 Solving g9o = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g9o = 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 '(30l + lx2 + 9L)' equal to zero and attempt to solve: Simplifying 30l + lx2 + 9L = 0 Reorder the terms: 9L + 30l + lx2 = 0 Solving 9L + 30l + lx2 = 0 Move all terms containing g to the left, all other terms to the right. Add '-9L' to each side of the equation. 9L + 30l + -9L + lx2 = 0 + -9L Reorder the terms: 9L + -9L + 30l + lx2 = 0 + -9L Combine like terms: 9L + -9L = 0 0 + 30l + lx2 = 0 + -9L 30l + lx2 = 0 + -9L Remove the zero: 30l + lx2 = -9L Add '-30l' to each side of the equation. 30l + -30l + lx2 = -9L + -30l Combine like terms: 30l + -30l = 0 0 + lx2 = -9L + -30l lx2 = -9L + -30l Add '-1lx2' to each side of the equation. lx2 + -1lx2 = -9L + -30l + -1lx2 Combine like terms: lx2 + -1lx2 = 0 0 = -9L + -30l + -1lx2 Simplifying 0 = -9L + -30l + -1lx2 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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