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Simplifying X2 + 6x4 + 5 = 0 Reorder the terms: 5 + X2 + 6x4 = 0 Solving 5 + X2 + 6x4 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + X2 + -5 + 6x4 = 0 + -5 Reorder the terms: 5 + -5 + X2 + 6x4 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + X2 + 6x4 = 0 + -5 X2 + 6x4 = 0 + -5 Combine like terms: 0 + -5 = -5 X2 + 6x4 = -5 Add '-6x4' to each side of the equation. X2 + 6x4 + -6x4 = -5 + -6x4 Combine like terms: 6x4 + -6x4 = 0 X2 + 0 = -5 + -6x4 X2 = -5 + -6x4 Simplifying X2 = -5 + -6x4 Reorder the terms: 5 + X2 + 6x4 = -5 + -6x4 + 5 + 6x4 Reorder the terms: 5 + X2 + 6x4 = -5 + 5 + -6x4 + 6x4 Combine like terms: -5 + 5 = 0 5 + X2 + 6x4 = 0 + -6x4 + 6x4 5 + X2 + 6x4 = -6x4 + 6x4 Combine like terms: -6x4 + 6x4 = 0 5 + X2 + 6x4 = 0 Factor a trinomial. (X + 2x2)(X + 3x2) = 0Subproblem 1
Set the factor '(X + 2x2)' equal to zero and attempt to solve: Simplifying X + 2x2 = 0 Solving X + 2x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-2x2' to each side of the equation. X + 2x2 + -2x2 = 0 + -2x2 Combine like terms: 2x2 + -2x2 = 0 X + 0 = 0 + -2x2 X = 0 + -2x2 Remove the zero: X = -2x2 Simplifying X = -2x2Subproblem 2
Set the factor '(X + 3x2)' equal to zero and attempt to solve: Simplifying X + 3x2 = 0 Solving X + 3x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-3x2' to each side of the equation. X + 3x2 + -3x2 = 0 + -3x2 Combine like terms: 3x2 + -3x2 = 0 X + 0 = 0 + -3x2 X = 0 + -3x2 Remove the zero: X = -3x2 Simplifying X = -3x2Solution
X = {-2x2, -3x2}
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