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Simplifying B(x) = (x + -1)(x + 1)(x + 0)(x + 4)(x + -9)(x + 8) Multiply B * x xB = (x + -1)(x + 1)(x + 0)(x + 4)(x + -9)(x + 8) Reorder the terms: xB = (-1 + x)(x + 1)(x + 0)(x + 4)(x + -9)(x + 8) Reorder the terms: xB = (-1 + x)(1 + x)(x + 0)(x + 4)(x + -9)(x + 8) Reorder the terms: xB = (-1 + x)(1 + x)(0 + x)(x + 4)(x + -9)(x + 8) Remove the zero: xB = (-1 + x)(1 + x)(x)(x + 4)(x + -9)(x + 8) Reorder the terms: xB = (-1 + x)(1 + x) * x(4 + x)(x + -9)(x + 8) Reorder the terms: xB = (-1 + x)(1 + x) * x(4 + x)(-9 + x)(x + 8) Reorder the terms: xB = (-1 + x)(1 + x) * x(4 + x)(-9 + x)(8 + x) Reorder the terms for easier multiplication: xB = x(-1 + x)(1 + x)(4 + x)(-9 + x)(8 + x) Multiply (-1 + x) * (1 + x) xB = x(-1(1 + x) + x(1 + x))(4 + x)(-9 + x)(8 + x) xB = x((1 * -1 + x * -1) + x(1 + x))(4 + x)(-9 + x)(8 + x) xB = x((-1 + -1x) + x(1 + x))(4 + x)(-9 + x)(8 + x) xB = x(-1 + -1x + (1 * x + x * x))(4 + x)(-9 + x)(8 + x) xB = x(-1 + -1x + (1x + x2))(4 + x)(-9 + x)(8 + x) Combine like terms: -1x + 1x = 0 xB = x(-1 + 0 + x2)(4 + x)(-9 + x)(8 + x) xB = x(-1 + x2)(4 + x)(-9 + x)(8 + x) Multiply (-1 + x2) * (4 + x) xB = x(-1(4 + x) + x2(4 + x))(-9 + x)(8 + x) xB = x((4 * -1 + x * -1) + x2(4 + x))(-9 + x)(8 + x) xB = x((-4 + -1x) + x2(4 + x))(-9 + x)(8 + x) xB = x(-4 + -1x + (4 * x2 + x * x2))(-9 + x)(8 + x) xB = x(-4 + -1x + (4x2 + x3))(-9 + x)(8 + x) xB = x(-4 + -1x + 4x2 + x3)(-9 + x)(8 + x) Multiply (-4 + -1x + 4x2 + x3) * (-9 + x) xB = x(-4(-9 + x) + -1x * (-9 + x) + 4x2 * (-9 + x) + x3(-9 + x))(8 + x) xB = x((-9 * -4 + x * -4) + -1x * (-9 + x) + 4x2 * (-9 + x) + x3(-9 + x))(8 + x) xB = x((36 + -4x) + -1x * (-9 + x) + 4x2 * (-9 + x) + x3(-9 + x))(8 + x) xB = x(36 + -4x + (-9 * -1x + x * -1x) + 4x2 * (-9 + x) + x3(-9 + x))(8 + x) xB = x(36 + -4x + (9x + -1x2) + 4x2 * (-9 + x) + x3(-9 + x))(8 + x) xB = x(36 + -4x + 9x + -1x2 + (-9 * 4x2 + x * 4x2) + x3(-9 + x))(8 + x) xB = x(36 + -4x + 9x + -1x2 + (-36x2 + 4x3) + x3(-9 + x))(8 + x) xB = x(36 + -4x + 9x + -1x2 + -36x2 + 4x3 + (-9 * x3 + x * x3))(8 + x) xB = x(36 + -4x + 9x + -1x2 + -36x2 + 4x3 + (-9x3 + x4))(8 + x) Combine like terms: -4x + 9x = 5x xB = x(36 + 5x + -1x2 + -36x2 + 4x3 + -9x3 + x4)(8 + x) Combine like terms: -1x2 + -36x2 = -37x2 xB = x(36 + 5x + -37x2 + 4x3 + -9x3 + x4)(8 + x) Combine like terms: 4x3 + -9x3 = -5x3 xB = x(36 + 5x + -37x2 + -5x3 + x4)(8 + x) Multiply (36 + 5x + -37x2 + -5x3 + x4) * (8 + x) xB = x(36(8 + x) + 5x * (8 + x) + -37x2 * (8 + x) + -5x3 * (8 + x) + x4(8 + x)) xB = x((8 * 36 + x * 36) + 5x * (8 + x) + -37x2 * (8 + x) + -5x3 * (8 + x) + x4(8 + x)) xB = x((288 + 36x) + 5x * (8 + x) + -37x2 * (8 + x) + -5x3 * (8 + x) + x4(8 + x)) xB = x(288 + 36x + (8 * 5x + x * 5x) + -37x2 * (8 + x) + -5x3 * (8 + x) + x4(8 + x)) xB = x(288 + 36x + (40x + 5x2) + -37x2 * (8 + x) + -5x3 * (8 + x) + x4(8 + x)) xB = x(288 + 36x + 40x + 5x2 + (8 * -37x2 + x * -37x2) + -5x3 * (8 + x) + x4(8 + x)) xB = x(288 + 36x + 40x + 5x2 + (-296x2 + -37x3) + -5x3 * (8 + x) + x4(8 + x)) xB = x(288 + 36x + 40x + 5x2 + -296x2 + -37x3 + (8 * -5x3 + x * -5x3) + x4(8 + x)) xB = x(288 + 36x + 40x + 5x2 + -296x2 + -37x3 + (-40x3 + -5x4) + x4(8 + x)) xB = x(288 + 36x + 40x + 5x2 + -296x2 + -37x3 + -40x3 + -5x4 + (8 * x4 + x * x4)) xB = x(288 + 36x + 40x + 5x2 + -296x2 + -37x3 + -40x3 + -5x4 + (8x4 + x5)) Combine like terms: 36x + 40x = 76x xB = x(288 + 76x + 5x2 + -296x2 + -37x3 + -40x3 + -5x4 + 8x4 + x5) Combine like terms: 5x2 + -296x2 = -291x2 xB = x(288 + 76x + -291x2 + -37x3 + -40x3 + -5x4 + 8x4 + x5) Combine like terms: -37x3 + -40x3 = -77x3 xB = x(288 + 76x + -291x2 + -77x3 + -5x4 + 8x4 + x5) Combine like terms: -5x4 + 8x4 = 3x4 xB = x(288 + 76x + -291x2 + -77x3 + 3x4 + x5) xB = (288 * x + 76x * x + -291x2 * x + -77x3 * x + 3x4 * x + x5 * x) xB = (288x + 76x2 + -291x3 + -77x4 + 3x5 + x6) Solving xB = 288x + 76x2 + -291x3 + -77x4 + 3x5 + x6 Solving for variable 'x'. Reorder the terms: -288x + xB + -76x2 + 291x3 + 77x4 + -3x5 + -1x6 = 288x + 76x2 + -291x3 + -77x4 + 3x5 + x6 + -288x + -76x2 + 291x3 + 77x4 + -3x5 + -1x6 Reorder the terms: -288x + xB + -76x2 + 291x3 + 77x4 + -3x5 + -1x6 = 288x + -288x + 76x2 + -76x2 + -291x3 + 291x3 + -77x4 + 77x4 + 3x5 + -3x5 + x6 + -1x6 Combine like terms: 288x + -288x = 0 -288x + xB + -76x2 + 291x3 + 77x4 + -3x5 + -1x6 = 0 + 76x2 + -76x2 + -291x3 + 291x3 + -77x4 + 77x4 + 3x5 + -3x5 + x6 + -1x6 -288x + xB + -76x2 + 291x3 + 77x4 + -3x5 + -1x6 = 76x2 + -76x2 + -291x3 + 291x3 + -77x4 + 77x4 + 3x5 + -3x5 + x6 + -1x6 Combine like terms: 76x2 + -76x2 = 0 -288x + xB + -76x2 + 291x3 + 77x4 + -3x5 + -1x6 = 0 + -291x3 + 291x3 + -77x4 + 77x4 + 3x5 + -3x5 + x6 + -1x6 -288x + xB + -76x2 + 291x3 + 77x4 + -3x5 + -1x6 = -291x3 + 291x3 + -77x4 + 77x4 + 3x5 + -3x5 + x6 + -1x6 Combine like terms: -291x3 + 291x3 = 0 -288x + xB + -76x2 + 291x3 + 77x4 + -3x5 + -1x6 = 0 + -77x4 + 77x4 + 3x5 + -3x5 + x6 + -1x6 -288x + xB + -76x2 + 291x3 + 77x4 + -3x5 + -1x6 = -77x4 + 77x4 + 3x5 + -3x5 + x6 + -1x6 Combine like terms: -77x4 + 77x4 = 0 -288x + xB + -76x2 + 291x3 + 77x4 + -3x5 + -1x6 = 0 + 3x5 + -3x5 + x6 + -1x6 -288x + xB + -76x2 + 291x3 + 77x4 + -3x5 + -1x6 = 3x5 + -3x5 + x6 + -1x6 Combine like terms: 3x5 + -3x5 = 0 -288x + xB + -76x2 + 291x3 + 77x4 + -3x5 + -1x6 = 0 + x6 + -1x6 -288x + xB + -76x2 + 291x3 + 77x4 + -3x5 + -1x6 = x6 + -1x6 Combine like terms: x6 + -1x6 = 0 -288x + xB + -76x2 + 291x3 + 77x4 + -3x5 + -1x6 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-288 + B + -76x + 291x2 + 77x3 + -3x4 + -1x5) = 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 '(-288 + B + -76x + 291x2 + 77x3 + -3x4 + -1x5)' equal to zero and attempt to solve: Simplifying -288 + B + -76x + 291x2 + 77x3 + -3x4 + -1x5 = 0 Solving -288 + B + -76x + 291x2 + 77x3 + -3x4 + -1x5 = 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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