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Simplifying (2x2 + 1)(5x2 + 6) = 0 Reorder the terms: (1 + 2x2)(5x2 + 6) = 0 Reorder the terms: (1 + 2x2)(6 + 5x2) = 0 Multiply (1 + 2x2) * (6 + 5x2) (1(6 + 5x2) + 2x2 * (6 + 5x2)) = 0 ((6 * 1 + 5x2 * 1) + 2x2 * (6 + 5x2)) = 0 ((6 + 5x2) + 2x2 * (6 + 5x2)) = 0 (6 + 5x2 + (6 * 2x2 + 5x2 * 2x2)) = 0 (6 + 5x2 + (12x2 + 10x4)) = 0 Combine like terms: 5x2 + 12x2 = 17x2 (6 + 17x2 + 10x4) = 0 Solving 6 + 17x2 + 10x4 = 0 Solving for variable 'x'. Factor a trinomial. (6 + 5x2)(1 + 2x2) = 0Subproblem 1
Set the factor '(6 + 5x2)' equal to zero and attempt to solve: Simplifying 6 + 5x2 = 0 Solving 6 + 5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x2 = 0 + -6 5x2 = 0 + -6 Combine like terms: 0 + -6 = -6 5x2 = -6 Divide each side by '5'. x2 = -1.2 Simplifying x2 = -1.2 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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