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Simplifying 0 = 23x2 + -22x Reorder the terms: 0 = -22x + 23x2 Solving 0 = -22x + 23x2 Solving for variable 'x'. Remove the zero: 22x + -23x2 = -22x + 23x2 + 22x + -23x2 Reorder the terms: 22x + -23x2 = -22x + 22x + 23x2 + -23x2 Combine like terms: -22x + 22x = 0 22x + -23x2 = 0 + 23x2 + -23x2 22x + -23x2 = 23x2 + -23x2 Combine like terms: 23x2 + -23x2 = 0 22x + -23x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(22 + -23x) = 0Subproblem 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 '(22 + -23x)' equal to zero and attempt to solve: Simplifying 22 + -23x = 0 Solving 22 + -23x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -23x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -23x = 0 + -22 -23x = 0 + -22 Combine like terms: 0 + -22 = -22 -23x = -22 Divide each side by '-23'. x = 0.9565217391 Simplifying x = 0.9565217391Solution
x = {0, 0.9565217391}
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