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Simplifying (2x2 + 1)(5x2 + 4) = 0 Reorder the terms: (1 + 2x2)(5x2 + 4) = 0 Reorder the terms: (1 + 2x2)(4 + 5x2) = 0 Multiply (1 + 2x2) * (4 + 5x2) (1(4 + 5x2) + 2x2 * (4 + 5x2)) = 0 ((4 * 1 + 5x2 * 1) + 2x2 * (4 + 5x2)) = 0 ((4 + 5x2) + 2x2 * (4 + 5x2)) = 0 (4 + 5x2 + (4 * 2x2 + 5x2 * 2x2)) = 0 (4 + 5x2 + (8x2 + 10x4)) = 0 Combine like terms: 5x2 + 8x2 = 13x2 (4 + 13x2 + 10x4) = 0 Solving 4 + 13x2 + 10x4 = 0 Solving for variable 'x'. Factor a trinomial. (4 + 5x2)(1 + 2x2) = 0Subproblem 1
Set the factor '(4 + 5x2)' equal to zero and attempt to solve: Simplifying 4 + 5x2 = 0 Solving 4 + 5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x2 = 0 + -4 5x2 = 0 + -4 Combine like terms: 0 + -4 = -4 5x2 = -4 Divide each side by '5'. x2 = -0.8 Simplifying x2 = -0.8 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 '(1 + 2x2)' equal to zero and attempt to solve: Simplifying 1 + 2x2 = 0 Solving 1 + 2x2 = 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 + 2x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x2 = 0 + -1 2x2 = 0 + -1 Combine like terms: 0 + -1 = -1 2x2 = -1 Divide each side by '2'. x2 = -0.5 Simplifying x2 = -0.5 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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