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Simplifying 5x4 + 95x2 + 450 = 0 Reorder the terms: 450 + 95x2 + 5x4 = 0 Solving 450 + 95x2 + 5x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(90 + 19x2 + x4) = 0 Factor a trinomial. 5((10 + x2)(9 + x2)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(10 + x2)' equal to zero and attempt to solve: Simplifying 10 + x2 = 0 Solving 10 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x2 = 0 + -10 x2 = 0 + -10 Combine like terms: 0 + -10 = -10 x2 = -10 Simplifying x2 = -10 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 '(9 + x2)' equal to zero and attempt to solve: Simplifying 9 + x2 = 0 Solving 9 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x2 = 0 + -9 x2 = 0 + -9 Combine like terms: 0 + -9 = -9 x2 = -9 Simplifying x2 = -9 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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