What is the answer to sqrt(10x^2+16x)=5x+8 ?

The answer to sqrt(10x^2+16x)=5x+8 is x=-8/5

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sqrt(10x^2+16x)=5x+8

10 x^{2} + 16 x = 5 x + 8

x = - \frac{8}{5}

Decimal Notation

x = - 1.6

Solution steps

10 x^{2} + 16 x = 5 x + 8

Square both sides:

10 x^{2} + 16 x = 25 x^{2} + 80 x + 64

10 x^{2} + 16 x = 25 x^{2} + 80 x + 64

Solve

10 x^{2} + 16 x = 25 x^{2} + 80 x + 64 : x = - \frac{8}{5}, x = - \frac{8}{3}

x = - \frac{8}{5}, x = - \frac{8}{3}

Verify Solutions:

x = - \frac{8}{5}

True

, x = - \frac{8}{3}

False

The solution is

x = - \frac{8}{5}

x^{2} + 5 + x - 3 = 0

x - 5 = 12 x + 25

1 + n + 4 = 3 n + 1

10 c + 4 - 3 = 9

\frac{48}{x} = 100 - x^{2}

What is the answer to sqrt(10x^2+16x)=5x+8 ?
The answer to sqrt(10x^2+16x)=5x+8 is x=-8/5
Solve for x: sqrt(10x^2+16x)=5x+8
The solution is x=-8/5