Solve 3\sqrt 5x^2+25x-10\sqrt 5=0

Evaluate

3 (5 x)^{2} + 25 x - 105 = 0

Find the domain

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3 (5 x)^{2} + 25 x - 105 = 0, x \geq 0

Simplify

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40 x - 105 = 0

Move the constant to the right-hand side and change its sign

40 x = 0 + 105

Add the terms

40 x = 105

Divide both sides

\frac{40 x}{40} = \frac{10 5}{40}

Divide the numbers

x = \frac{10 5}{40}

Cancel out the common factor 10

x = \frac{5}{4}

Check if the solution is in the defined range

x = \frac{5}{4}, x \geq 0

Find the intersection of the solution and the defined range

x = \frac{5}{4}

Solution

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x = \frac{5}{4}

Alternative Form

x \approx 0.559017

Solve the equation