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Simplifying 6x4 + -22x2 = 0 Reorder the terms: -22x2 + 6x4 = 0 Solving -22x2 + 6x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(-11 + 3x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-11 + 3x2)' equal to zero and attempt to solve: Simplifying -11 + 3x2 = 0 Solving -11 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 3x2 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 3x2 = 0 + 11 3x2 = 0 + 11 Combine like terms: 0 + 11 = 11 3x2 = 11 Divide each side by '3'. x2 = 3.666666667 Simplifying x2 = 3.666666667 Take the square root of each side: x = {-1.914854216, 1.914854216}Solution
x = {0, -1.914854216, 1.914854216}
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