What is the answer to solvefor z,sqrt(7-3z)=3+cz ?

The answer to solvefor z,sqrt(7-3z)=3+cz is No Solution for z\in\mathbb{R}

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solvefor z,sqrt(7-3z)=3+cz

solve for

z, 7 - 3 z = 3 + cz

No Solution for z \in R

Solution steps

7 - 3 z = 3 + cz

Square both sides:

7 - 3 z = 9 + 6 zc + z^{2} c^{2}

7 - 3 z = 9 + 6 zc + z^{2} c^{2}

Solve

7 - 3 z = 9 + 6 zc + z^{2} c^{2} : z = \frac{- 6 c - 3 + 28 c ^{2} + 36 c + 9}{2 c ^{2}}, z = \frac{- 6 c - 3 - 28 c ^{2} + 36 c + 9}{2 c ^{2}}

z = \frac{- 6 c - 3 + 28 c ^{2} + 36 c + 9}{2 c ^{2}}, z = \frac{- 6 c - 3 - 28 c ^{2} + 36 c + 9}{2 c ^{2}}

Verify Solutions:

z = \frac{- 6 c - 3 + 28 c ^{2} + 36 c + 9}{2 c ^{2}}

False

, z = \frac{- 6 c - 3 - 28 c ^{2} + 36 c + 9}{2 c ^{2}}

False

The solution is

No Solution for z \in R

y, x = 3 - y

x = \frac{1}{x ^{2}}

10 - 2 x = x + 7

x + 8 = 3 x + 8

What is the answer to solvefor z,sqrt(7-3z)=3+cz ?
The answer to solvefor z,sqrt(7-3z)=3+cz is No Solution for z\in\mathbb{R}