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Simplifying (x3 + -6x2 + -8x)(x3 + -4x2 + -9x + 5) = 0 Reorder the terms: (-8x + -6x2 + x3)(x3 + -4x2 + -9x + 5) = 0 Reorder the terms: (-8x + -6x2 + x3)(5 + -9x + -4x2 + x3) = 0 Multiply (-8x + -6x2 + x3) * (5 + -9x + -4x2 + x3) (-8x * (5 + -9x + -4x2 + x3) + -6x2 * (5 + -9x + -4x2 + x3) + x3(5 + -9x + -4x2 + x3)) = 0 ((5 * -8x + -9x * -8x + -4x2 * -8x + x3 * -8x) + -6x2 * (5 + -9x + -4x2 + x3) + x3(5 + -9x + -4x2 + x3)) = 0 ((-40x + 72x2 + 32x3 + -8x4) + -6x2 * (5 + -9x + -4x2 + x3) + x3(5 + -9x + -4x2 + x3)) = 0 (-40x + 72x2 + 32x3 + -8x4 + (5 * -6x2 + -9x * -6x2 + -4x2 * -6x2 + x3 * -6x2) + x3(5 + -9x + -4x2 + x3)) = 0 (-40x + 72x2 + 32x3 + -8x4 + (-30x2 + 54x3 + 24x4 + -6x5) + x3(5 + -9x + -4x2 + x3)) = 0 (-40x + 72x2 + 32x3 + -8x4 + -30x2 + 54x3 + 24x4 + -6x5 + (5 * x3 + -9x * x3 + -4x2 * x3 + x3 * x3)) = 0 (-40x + 72x2 + 32x3 + -8x4 + -30x2 + 54x3 + 24x4 + -6x5 + (5x3 + -9x4 + -4x5 + x6)) = 0 Reorder the terms: (-40x + 72x2 + -30x2 + 32x3 + 54x3 + 5x3 + -8x4 + 24x4 + -9x4 + -6x5 + -4x5 + x6) = 0 Combine like terms: 72x2 + -30x2 = 42x2 (-40x + 42x2 + 32x3 + 54x3 + 5x3 + -8x4 + 24x4 + -9x4 + -6x5 + -4x5 + x6) = 0 Combine like terms: 32x3 + 54x3 = 86x3 (-40x + 42x2 + 86x3 + 5x3 + -8x4 + 24x4 + -9x4 + -6x5 + -4x5 + x6) = 0 Combine like terms: 86x3 + 5x3 = 91x3 (-40x + 42x2 + 91x3 + -8x4 + 24x4 + -9x4 + -6x5 + -4x5 + x6) = 0 Combine like terms: -8x4 + 24x4 = 16x4 (-40x + 42x2 + 91x3 + 16x4 + -9x4 + -6x5 + -4x5 + x6) = 0 Combine like terms: 16x4 + -9x4 = 7x4 (-40x + 42x2 + 91x3 + 7x4 + -6x5 + -4x5 + x6) = 0 Combine like terms: -6x5 + -4x5 = -10x5 (-40x + 42x2 + 91x3 + 7x4 + -10x5 + x6) = 0 Solving -40x + 42x2 + 91x3 + 7x4 + -10x5 + x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-40 + 42x + 91x2 + 7x3 + -10x4 + x5) = 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 '(-40 + 42x + 91x2 + 7x3 + -10x4 + x5)' equal to zero and attempt to solve: Simplifying -40 + 42x + 91x2 + 7x3 + -10x4 + x5 = 0 Solving -40 + 42x + 91x2 + 7x3 + -10x4 + x5 = 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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