Solve: x² + 9 = 6x

An equation is given.

x² + 9 = 6x

What is one solution to the equation?

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To solve this quadratic equation:
- move all terms to one side  {getting in standard form}
- factor the expression into two binomials
- set each factor equal to zero  {unless the two factors are the same, then just set one equal to zero}
- solve the equation(s)

x² + 9 = 6x
x² - 6x + 9 = 0   {subtracted 6x from each side, getting into standard form, ax² + bx + c = 0}
(x - 3)(x - 3) = 0  {factored the expression into two binomials}
x - 3 = 0   {normally you would set each factor equal to zero, but these two are the same}
x = 3   {solved the equation for x}

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