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Simplifying H(x) = -3x4 + 21x3 + -48x2 + 36xfactor Multiply H * x xH = -3x4 + 21x3 + -48x2 + 36xfactor Reorder the terms: xH = 36acfortx + -48x2 + 21x3 + -3x4 Solving xH = 36acfortx + -48x2 + 21x3 + -3x4 Solving for variable 'x'. Reorder the terms: -36acfortx + xH + 48x2 + -21x3 + 3x4 = 36acfortx + -48x2 + 21x3 + -3x4 + -36acfortx + 48x2 + -21x3 + 3x4 Reorder the terms: -36acfortx + xH + 48x2 + -21x3 + 3x4 = 36acfortx + -36acfortx + -48x2 + 48x2 + 21x3 + -21x3 + -3x4 + 3x4 Combine like terms: 36acfortx + -36acfortx = 0 -36acfortx + xH + 48x2 + -21x3 + 3x4 = 0 + -48x2 + 48x2 + 21x3 + -21x3 + -3x4 + 3x4 -36acfortx + xH + 48x2 + -21x3 + 3x4 = -48x2 + 48x2 + 21x3 + -21x3 + -3x4 + 3x4 Combine like terms: -48x2 + 48x2 = 0 -36acfortx + xH + 48x2 + -21x3 + 3x4 = 0 + 21x3 + -21x3 + -3x4 + 3x4 -36acfortx + xH + 48x2 + -21x3 + 3x4 = 21x3 + -21x3 + -3x4 + 3x4 Combine like terms: 21x3 + -21x3 = 0 -36acfortx + xH + 48x2 + -21x3 + 3x4 = 0 + -3x4 + 3x4 -36acfortx + xH + 48x2 + -21x3 + 3x4 = -3x4 + 3x4 Combine like terms: -3x4 + 3x4 = 0 -36acfortx + xH + 48x2 + -21x3 + 3x4 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-36acfort + H + 48x + -21x2 + 3x3) = 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 '(-36acfort + H + 48x + -21x2 + 3x3)' equal to zero and attempt to solve: Simplifying -36acfort + H + 48x + -21x2 + 3x3 = 0 Reorder the terms: H + -36acfort + 48x + -21x2 + 3x3 = 0 Solving H + -36acfort + 48x + -21x2 + 3x3 = 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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