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Simplifying x2 + -1x + -11x = g(x) Reorder the terms: -1x + -11x + x2 = g(x) Combine like terms: -1x + -11x = -12x -12x + x2 = g(x) Multiply g * x -12x + x2 = gx Solving -12x + x2 = gx Solving for variable 'x'. Reorder the terms: -1gx + -12x + x2 = gx + -1gx Combine like terms: gx + -1gx = 0 -1gx + -12x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1g + -12 + x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1g + -12 + x)' equal to zero and attempt to solve: Simplifying -1g + -12 + x = 0 Reorder the terms: -12 + -1g + x = 0 Solving -12 + -1g + x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -1g + 12 + x = 0 + 12 Reorder the terms: -12 + 12 + -1g + x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1g + x = 0 + 12 -1g + x = 0 + 12 Combine like terms: 0 + 12 = 12 -1g + x = 12 Add 'g' to each side of the equation. -1g + g + x = 12 + g Combine like terms: -1g + g = 0 0 + x = 12 + g x = 12 + g Simplifying x = 12 + gSolution
x = {0, 12 + g}
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