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Simplifying (5x2 + 1)(4x2 + 6) = 0 Reorder the terms: (1 + 5x2)(4x2 + 6) = 0 Reorder the terms: (1 + 5x2)(6 + 4x2) = 0 Multiply (1 + 5x2) * (6 + 4x2) (1(6 + 4x2) + 5x2 * (6 + 4x2)) = 0 ((6 * 1 + 4x2 * 1) + 5x2 * (6 + 4x2)) = 0 ((6 + 4x2) + 5x2 * (6 + 4x2)) = 0 (6 + 4x2 + (6 * 5x2 + 4x2 * 5x2)) = 0 (6 + 4x2 + (30x2 + 20x4)) = 0 Combine like terms: 4x2 + 30x2 = 34x2 (6 + 34x2 + 20x4) = 0 Solving 6 + 34x2 + 20x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(3 + 17x2 + 10x4) = 0 Factor a trinomial. 2((3 + 2x2)(1 + 5x2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + 2x2)' equal to zero and attempt to solve: Simplifying 3 + 2x2 = 0 Solving 3 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x2 = 0 + -3 2x2 = 0 + -3 Combine like terms: 0 + -3 = -3 2x2 = -3 Divide each side by '2'. x2 = -1.5 Simplifying x2 = -1.5 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 + 5x2)' equal to zero and attempt to solve: Simplifying 1 + 5x2 = 0 Solving 1 + 5x2 = 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 + 5x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x2 = 0 + -1 5x2 = 0 + -1 Combine like terms: 0 + -1 = -1 5x2 = -1 Divide each side by '5'. x2 = -0.2 Simplifying x2 = -0.2 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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