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Simplifying 10x4 + 28x2 + 16 = 0 Reorder the terms: 16 + 28x2 + 10x4 = 0 Solving 16 + 28x2 + 10x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 14x2 + 5x4) = 0 Factor a trinomial. 2((2 + x2)(4 + 5x2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + x2)' equal to zero and attempt to solve: Simplifying 2 + x2 = 0 Solving 2 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x2 = 0 + -2 x2 = 0 + -2 Combine like terms: 0 + -2 = -2 x2 = -2 Simplifying x2 = -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 '(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. The solution to this equation could not be determined.
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