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Simplifying 0 = 4x3 + -22x Reorder the terms: 0 = -22x + 4x3 Solving 0 = -22x + 4x3 Solving for variable 'x'. Remove the zero: 22x + -4x3 = -22x + 4x3 + 22x + -4x3 Reorder the terms: 22x + -4x3 = -22x + 22x + 4x3 + -4x3 Combine like terms: -22x + 22x = 0 22x + -4x3 = 0 + 4x3 + -4x3 22x + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 22x + -4x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(11 + -2x2) = 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 '(11 + -2x2)' equal to zero and attempt to solve: Simplifying 11 + -2x2 = 0 Solving 11 + -2x2 = 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 + -2x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2x2 = 0 + -11 -2x2 = 0 + -11 Combine like terms: 0 + -11 = -11 -2x2 = -11 Divide each side by '-2'. x2 = 5.5 Simplifying x2 = 5.5 Take the square root of each side: x = {-2.34520788, 2.34520788}Solution
x = {0, -2.34520788, 2.34520788}
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