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Simplifying 5x4 + 80 = -50x2 Reorder the terms: 80 + 5x4 = -50x2 Solving 80 + 5x4 = -50x2 Solving for variable 'x'. Reorder the terms: 80 + 50x2 + 5x4 = -50x2 + 50x2 Combine like terms: -50x2 + 50x2 = 0 80 + 50x2 + 5x4 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(16 + 10x2 + x4) = 0 Factor a trinomial. 5((8 + x2)(2 + x2)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(8 + x2)' equal to zero and attempt to solve: Simplifying 8 + x2 = 0 Solving 8 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x2 = 0 + -8 x2 = 0 + -8 Combine like terms: 0 + -8 = -8 x2 = -8 Simplifying x2 = -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 '(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. The solution to this equation could not be determined.
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