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Simplifying 2x5 + -8x3 + 90x = 0 Reorder the terms: 90x + -8x3 + 2x5 = 0 Solving 90x + -8x3 + 2x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(45 + -4x2 + x4) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(45 + -4x2 + x4)' equal to zero and attempt to solve: Simplifying 45 + -4x2 + x4 = 0 Solving 45 + -4x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-45' to each side of the equation. 45 + -4x2 + -45 + x4 = 0 + -45 Reorder the terms: 45 + -45 + -4x2 + x4 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -4x2 + x4 = 0 + -45 -4x2 + x4 = 0 + -45 Combine like terms: 0 + -45 = -45 -4x2 + x4 = -45 The x term is -4x2. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x2 + 4 + x4 = -45 + 4 Reorder the terms: 4 + -4x2 + x4 = -45 + 4 Combine like terms: -45 + 4 = -41 4 + -4x2 + x4 = -41 Factor a perfect square on the left side: (x2 + -2)(x2 + -2) = -41 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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