H(x)=-3x^4+21x^3-48x^2+36xfactor

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Solution for H(x)=-3x^4+21x^3-48x^2+36xfactor equation:


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) = 0

Subproblem 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 = 0

Subproblem 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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