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Simplifying (7x2 + 1)(3x2 + 1) = 0 Reorder the terms: (1 + 7x2)(3x2 + 1) = 0 Reorder the terms: (1 + 7x2)(1 + 3x2) = 0 Multiply (1 + 7x2) * (1 + 3x2) (1(1 + 3x2) + 7x2 * (1 + 3x2)) = 0 ((1 * 1 + 3x2 * 1) + 7x2 * (1 + 3x2)) = 0 ((1 + 3x2) + 7x2 * (1 + 3x2)) = 0 (1 + 3x2 + (1 * 7x2 + 3x2 * 7x2)) = 0 (1 + 3x2 + (7x2 + 21x4)) = 0 Combine like terms: 3x2 + 7x2 = 10x2 (1 + 10x2 + 21x4) = 0 Solving 1 + 10x2 + 21x4 = 0 Solving for variable 'x'. Factor a trinomial. (1 + 3x2)(1 + 7x2) = 0Subproblem 1
Set the factor '(1 + 3x2)' equal to zero and attempt to solve: Simplifying 1 + 3x2 = 0 Solving 1 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x2 = 0 + -1 3x2 = 0 + -1 Combine like terms: 0 + -1 = -1 3x2 = -1 Divide each side by '3'. x2 = -0.3333333333 Simplifying x2 = -0.3333333333 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 '(1 + 7x2)' equal to zero and attempt to solve: Simplifying 1 + 7x2 = 0 Solving 1 + 7x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x2 = 0 + -1 7x2 = 0 + -1 Combine like terms: 0 + -1 = -1 7x2 = -1 Divide each side by '7'. x2 = -0.1428571429 Simplifying x2 = -0.1428571429 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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