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Simplifying H(x) = 3x3 + 9x2 + -162x Multiply H * x xH = 3x3 + 9x2 + -162x Reorder the terms: xH = -162x + 9x2 + 3x3 Solving xH = -162x + 9x2 + 3x3 Solving for variable 'x'. Reorder the terms: 162x + xH + -9x2 + -3x3 = -162x + 9x2 + 3x3 + 162x + -9x2 + -3x3 Reorder the terms: 162x + xH + -9x2 + -3x3 = -162x + 162x + 9x2 + -9x2 + 3x3 + -3x3 Combine like terms: -162x + 162x = 0 162x + xH + -9x2 + -3x3 = 0 + 9x2 + -9x2 + 3x3 + -3x3 162x + xH + -9x2 + -3x3 = 9x2 + -9x2 + 3x3 + -3x3 Combine like terms: 9x2 + -9x2 = 0 162x + xH + -9x2 + -3x3 = 0 + 3x3 + -3x3 162x + xH + -9x2 + -3x3 = 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 162x + xH + -9x2 + -3x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(162 + H + -9x + -3x2) = 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 '(162 + H + -9x + -3x2)' equal to zero and attempt to solve: Simplifying 162 + H + -9x + -3x2 = 0 Solving 162 + H + -9x + -3x2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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