Solve for D
D=\left(x-6\right)\left(3x-1\right)
Solve for x (complex solution)
x=\frac{\sqrt{12D+289}+19}{6}
x=\frac{-\sqrt{12D+289}+19}{6}
Solve for x
x=\frac{\sqrt{12D+289}+19}{6}
x=\frac{-\sqrt{12D+289}+19}{6}\text{, }D\geq -\frac{289}{12}
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D=9x^{2}-1-\left(6x^{2}+19x-7\right)
Use the distributive property to multiply 3x-1 by 2x+7 and combine like terms.
D=9x^{2}-1-6x^{2}-19x+7
To find the opposite of 6x^{2}+19x-7, find the opposite of each term.
D=3x^{2}-1-19x+7
Combine 9x^{2} and -6x^{2} to get 3x^{2}.
D=3x^{2}+6-19x
Add -1 and 7 to get 6.
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