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Simplifying 12x4 + 28x2 + 15 = 0 Reorder the terms: 15 + 28x2 + 12x4 = 0 Solving 15 + 28x2 + 12x4 = 0 Solving for variable 'x'. Factor a trinomial. (3 + 2x2)(5 + 6x2) = 0Subproblem 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 '(5 + 6x2)' equal to zero and attempt to solve: Simplifying 5 + 6x2 = 0 Solving 5 + 6x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x2 = 0 + -5 6x2 = 0 + -5 Combine like terms: 0 + -5 = -5 6x2 = -5 Divide each side by '6'. x2 = -0.8333333333 Simplifying x2 = -0.8333333333 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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