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Simplifying 6x6 + -21x4 = 0 Reorder the terms: -21x4 + 6x6 = 0 Solving -21x4 + 6x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x4'. 3x4(-7 + 2x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 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 '(-7 + 2x2)' equal to zero and attempt to solve: Simplifying -7 + 2x2 = 0 Solving -7 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2x2 = 0 + 7 2x2 = 0 + 7 Combine like terms: 0 + 7 = 7 2x2 = 7 Divide each side by '2'. x2 = 3.5 Simplifying x2 = 3.5 Take the square root of each side: x = {-1.870828693, 1.870828693}Solution
x = {-1.870828693, 1.870828693}
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