Solve for E
E=\left(x-3\right)\left(2x-7\right)
Solve for x (complex solution)
x=\frac{\sqrt{8E+1}+13}{4}
x=\frac{-\sqrt{8E+1}+13}{4}
Solve for x
x=\frac{\sqrt{8E+1}+13}{4}
x=\frac{-\sqrt{8E+1}+13}{4}\text{, }E\geq -\frac{1}{8}
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E=x^{2}-6x+9+x^{2}-7x+12
Use the distributive property to multiply x-3 by x-4 and combine like terms.
E=2x^{2}-6x+9-7x+12
Combine x^{2} and x^{2} to get 2x^{2}.
E=2x^{2}-13x+9+12
Combine -6x and -7x to get -13x.
E=2x^{2}-13x+21
Add 9 and 12 to get 21.
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