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Tamiku [17]
2 years ago
13

Find the solutions of 6(2-7x)+x(7x-2=0)

Mathematics
1 answer:
azamat2 years ago
8 0
6(2-7x)+x(7x-2)=0

Use distributive property: a(b - c) = ab - ac

(6)(2)-(6)(7x)+(x)(7x)-(x)(2)=0\\\\12-42x+7x^2-2x=0\\\\7x^2-44x+12=0\\\\7x^2-42x-2x+12=0\\\\7x(x-6)-2(x-6)=0\\\\(x-6)(7x-2)=0\iff x-6=0\ \vee\ 7x-2=0\\\\x-6=0\ \ \ |+6\\\\x=6\\\\7x-2=0\ \ \ |+2\\\\7x=2\ \ \ |:7\\\\x=\dfrac{2}{7}

Answer:\ x=6\ \vee\ x=\dfrac{2}{7}
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