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Simplifying (X + 2)(2x2 + 10) = 0 Reorder the terms: (2 + X)(2x2 + 10) = 0 Reorder the terms: (2 + X)(10 + 2x2) = 0 Multiply (2 + X) * (10 + 2x2) (2(10 + 2x2) + X(10 + 2x2)) = 0 ((10 * 2 + 2x2 * 2) + X(10 + 2x2)) = 0 ((20 + 4x2) + X(10 + 2x2)) = 0 (20 + 4x2 + (10 * X + 2x2 * X)) = 0 (20 + 4x2 + (10X + 2x2X)) = 0 Reorder the terms: (20 + 10X + 4x2 + 2x2X) = 0 (20 + 10X + 4x2 + 2x2X) = 0 Solving 20 + 10X + 4x2 + 2x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 10X + 4x2 + -20 + 2x2X = 0 + -20 Reorder the terms: 20 + -20 + 10X + 4x2 + 2x2X = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 10X + 4x2 + 2x2X = 0 + -20 10X + 4x2 + 2x2X = 0 + -20 Combine like terms: 0 + -20 = -20 10X + 4x2 + 2x2X = -20 Add '-4x2' to each side of the equation. 10X + 4x2 + -4x2 + 2x2X = -20 + -4x2 Combine like terms: 4x2 + -4x2 = 0 10X + 0 + 2x2X = -20 + -4x2 10X + 2x2X = -20 + -4x2 Reorder the terms: 20 + 10X + 4x2 + 2x2X = -20 + -4x2 + 20 + 4x2 Reorder the terms: 20 + 10X + 4x2 + 2x2X = -20 + 20 + -4x2 + 4x2 Combine like terms: -20 + 20 = 0 20 + 10X + 4x2 + 2x2X = 0 + -4x2 + 4x2 20 + 10X + 4x2 + 2x2X = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 20 + 10X + 4x2 + 2x2X = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(10 + 5X + 2x2 + x2X) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + 5X + 2x2 + x2X)' equal to zero and attempt to solve: Simplifying 10 + 5X + 2x2 + x2X = 0 Solving 10 + 5X + 2x2 + x2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 5X + 2x2 + -10 + x2X = 0 + -10 Reorder the terms: 10 + -10 + 5X + 2x2 + x2X = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5X + 2x2 + x2X = 0 + -10 5X + 2x2 + x2X = 0 + -10 Combine like terms: 0 + -10 = -10 5X + 2x2 + x2X = -10 Add '-2x2' to each side of the equation. 5X + 2x2 + -2x2 + x2X = -10 + -2x2 Combine like terms: 2x2 + -2x2 = 0 5X + 0 + x2X = -10 + -2x2 5X + x2X = -10 + -2x2 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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