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Simplifying (x + -2)(x2 + 2x + 4)(x3 + -8) = 0 Reorder the terms: (-2 + x)(x2 + 2x + 4)(x3 + -8) = 0 Reorder the terms: (-2 + x)(4 + 2x + x2)(x3 + -8) = 0 Reorder the terms: (-2 + x)(4 + 2x + x2)(-8 + x3) = 0 Multiply (-2 + x) * (4 + 2x + x2) (-2(4 + 2x + x2) + x(4 + 2x + x2))(-8 + x3) = 0 ((4 * -2 + 2x * -2 + x2 * -2) + x(4 + 2x + x2))(-8 + x3) = 0 ((-8 + -4x + -2x2) + x(4 + 2x + x2))(-8 + x3) = 0 (-8 + -4x + -2x2 + (4 * x + 2x * x + x2 * x))(-8 + x3) = 0 (-8 + -4x + -2x2 + (4x + 2x2 + x3))(-8 + x3) = 0 Reorder the terms: (-8 + -4x + 4x + -2x2 + 2x2 + x3)(-8 + x3) = 0 Combine like terms: -4x + 4x = 0 (-8 + 0 + -2x2 + 2x2 + x3)(-8 + x3) = 0 (-8 + -2x2 + 2x2 + x3)(-8 + x3) = 0 Combine like terms: -2x2 + 2x2 = 0 (-8 + 0 + x3)(-8 + x3) = 0 (-8 + x3)(-8 + x3) = 0 Multiply (-8 + x3) * (-8 + x3) (-8(-8 + x3) + x3(-8 + x3)) = 0 ((-8 * -8 + x3 * -8) + x3(-8 + x3)) = 0 ((64 + -8x3) + x3(-8 + x3)) = 0 (64 + -8x3 + (-8 * x3 + x3 * x3)) = 0 (64 + -8x3 + (-8x3 + x6)) = 0 Combine like terms: -8x3 + -8x3 = -16x3 (64 + -16x3 + x6) = 0 Solving 64 + -16x3 + x6 = 0 Solving for variable 'x'. Factor a trinomial. (8 + -1x3)(8 + -1x3) = 0Subproblem 1
Set the factor '(8 + -1x3)' equal to zero and attempt to solve: Simplifying 8 + -1x3 = 0 Solving 8 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x3 = 0 + -8 -1x3 = 0 + -8 Combine like terms: 0 + -8 = -8 -1x3 = -8 Divide each side by '-1'. x3 = 8 Simplifying x3 = 8 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 '(8 + -1x3)' equal to zero and attempt to solve: Simplifying 8 + -1x3 = 0 Solving 8 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x3 = 0 + -8 -1x3 = 0 + -8 Combine like terms: 0 + -8 = -8 -1x3 = -8 Divide each side by '-1'. x3 = 8 Simplifying x3 = 8 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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