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Simplifying x4(-1x5 + -3x4 + -10x3 + 10x2 + -5x + 1)(5 + -11x) = 0 Reorder the terms: x4(1 + -5x + 10x2 + -10x3 + -3x4 + -1x5)(5 + -11x) = 0 Multiply (1 + -5x + 10x2 + -10x3 + -3x4 + -1x5) * (5 + -11x) x4(1(5 + -11x) + -5x * (5 + -11x) + 10x2 * (5 + -11x) + -10x3 * (5 + -11x) + -3x4 * (5 + -11x) + -1x5 * (5 + -11x)) = 0 x4((5 * 1 + -11x * 1) + -5x * (5 + -11x) + 10x2 * (5 + -11x) + -10x3 * (5 + -11x) + -3x4 * (5 + -11x) + -1x5 * (5 + -11x)) = 0 x4((5 + -11x) + -5x * (5 + -11x) + 10x2 * (5 + -11x) + -10x3 * (5 + -11x) + -3x4 * (5 + -11x) + -1x5 * (5 + -11x)) = 0 x4(5 + -11x + (5 * -5x + -11x * -5x) + 10x2 * (5 + -11x) + -10x3 * (5 + -11x) + -3x4 * (5 + -11x) + -1x5 * (5 + -11x)) = 0 x4(5 + -11x + (-25x + 55x2) + 10x2 * (5 + -11x) + -10x3 * (5 + -11x) + -3x4 * (5 + -11x) + -1x5 * (5 + -11x)) = 0 x4(5 + -11x + -25x + 55x2 + (5 * 10x2 + -11x * 10x2) + -10x3 * (5 + -11x) + -3x4 * (5 + -11x) + -1x5 * (5 + -11x)) = 0 x4(5 + -11x + -25x + 55x2 + (50x2 + -110x3) + -10x3 * (5 + -11x) + -3x4 * (5 + -11x) + -1x5 * (5 + -11x)) = 0 x4(5 + -11x + -25x + 55x2 + 50x2 + -110x3 + (5 * -10x3 + -11x * -10x3) + -3x4 * (5 + -11x) + -1x5 * (5 + -11x)) = 0 x4(5 + -11x + -25x + 55x2 + 50x2 + -110x3 + (-50x3 + 110x4) + -3x4 * (5 + -11x) + -1x5 * (5 + -11x)) = 0 x4(5 + -11x + -25x + 55x2 + 50x2 + -110x3 + -50x3 + 110x4 + (5 * -3x4 + -11x * -3x4) + -1x5 * (5 + -11x)) = 0 x4(5 + -11x + -25x + 55x2 + 50x2 + -110x3 + -50x3 + 110x4 + (-15x4 + 33x5) + -1x5 * (5 + -11x)) = 0 x4(5 + -11x + -25x + 55x2 + 50x2 + -110x3 + -50x3 + 110x4 + -15x4 + 33x5 + (5 * -1x5 + -11x * -1x5)) = 0 x4(5 + -11x + -25x + 55x2 + 50x2 + -110x3 + -50x3 + 110x4 + -15x4 + 33x5 + (-5x5 + 11x6)) = 0 Combine like terms: -11x + -25x = -36x x4(5 + -36x + 55x2 + 50x2 + -110x3 + -50x3 + 110x4 + -15x4 + 33x5 + -5x5 + 11x6) = 0 Combine like terms: 55x2 + 50x2 = 105x2 x4(5 + -36x + 105x2 + -110x3 + -50x3 + 110x4 + -15x4 + 33x5 + -5x5 + 11x6) = 0 Combine like terms: -110x3 + -50x3 = -160x3 x4(5 + -36x + 105x2 + -160x3 + 110x4 + -15x4 + 33x5 + -5x5 + 11x6) = 0 Combine like terms: 110x4 + -15x4 = 95x4 x4(5 + -36x + 105x2 + -160x3 + 95x4 + 33x5 + -5x5 + 11x6) = 0 Combine like terms: 33x5 + -5x5 = 28x5 x4(5 + -36x + 105x2 + -160x3 + 95x4 + 28x5 + 11x6) = 0 (5 * x4 + -36x * x4 + 105x2 * x4 + -160x3 * x4 + 95x4 * x4 + 28x5 * x4 + 11x6 * x4) = 0 (5x4 + -36x5 + 105x6 + -160x7 + 95x8 + 28x9 + 11x10) = 0 Solving 5x4 + -36x5 + 105x6 + -160x7 + 95x8 + 28x9 + 11x10 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x4'. x4(5 + -36x + 105x2 + -160x3 + 95x4 + 28x5 + 11x6) = 0Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + -36x + 105x2 + -160x3 + 95x4 + 28x5 + 11x6)' equal to zero and attempt to solve: Simplifying 5 + -36x + 105x2 + -160x3 + 95x4 + 28x5 + 11x6 = 0 Solving 5 + -36x + 105x2 + -160x3 + 95x4 + 28x5 + 11x6 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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