0=23x^2-11x

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Solution for 0=23x^2-11x equation:


Simplifying
0 = 23x2 + -11x

Reorder the terms:
0 = -11x + 23x2

Solving
0 = -11x + 23x2

Solving for variable 'x'.
Remove the zero:
11x + -23x2 = -11x + 23x2 + 11x + -23x2

Reorder the terms:
11x + -23x2 = -11x + 11x + 23x2 + -23x2

Combine like terms: -11x + 11x = 0
11x + -23x2 = 0 + 23x2 + -23x2
11x + -23x2 = 23x2 + -23x2

Combine like terms: 23x2 + -23x2 = 0
11x + -23x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(11 + -23x) = 0

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 = 0

Subproblem 2

Set the factor '(11 + -23x)' equal to zero and attempt to solve: Simplifying 11 + -23x = 0 Solving 11 + -23x = 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 + -23x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -23x = 0 + -11 -23x = 0 + -11 Combine like terms: 0 + -11 = -11 -23x = -11 Divide each side by '-23'. x = 0.4782608696 Simplifying x = 0.4782608696

Solution

x = {0, 0.4782608696}

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