Solve y=-4/3*2525sqrt{2525}+9*2525+7

$$y= \frac{ -4 }{ 3 } \times 2525 \sqrt{ 2525 } +9 \times 2525+7$$

Solve for y

$$y=-\frac{50500\sqrt{101}}{3}+22732\approx -146440.906288868$$

Steps for Solving Linear Equation

Fraction \frac{-4}{3} can be rewritten as -\frac{4}{3} by extracting the negative sign.

$$y=2525\left(-\frac{4}{3}\right)\sqrt{2525}+9\times 2525+7$$

Express 2525\left(-\frac{4}{3}\right) as a single fraction.

$$y=\frac{2525\left(-4\right)}{3}\sqrt{2525}+9\times 2525+7$$

Multiply 2525 and -4 to get -10100.

$$y=\frac{-10100}{3}\sqrt{2525}+9\times 2525+7$$

Fraction \frac{-10100}{3} can be rewritten as -\frac{10100}{3} by extracting the negative sign.

$$y=-\frac{10100}{3}\sqrt{2525}+9\times 2525+7$$

Factor 2525=5^{2}\times 101. Rewrite the square root of the product \sqrt{5^{2}\times 101} as the product of square roots \sqrt{5^{2}}\sqrt{101}. Take the square root of 5^{2}.

$$y=-\frac{10100}{3}\times 5\sqrt{101}+9\times 2525+7$$

Express -\frac{10100}{3}\times 5 as a single fraction.

$$y=\frac{-10100\times 5}{3}\sqrt{101}+9\times 2525+7$$

Multiply -10100 and 5 to get -50500.

$$y=\frac{-50500}{3}\sqrt{101}+9\times 2525+7$$

Fraction \frac{-50500}{3} can be rewritten as -\frac{50500}{3} by extracting the negative sign.

$$y=-\frac{50500}{3}\sqrt{101}+9\times 2525+7$$

Multiply 9 and 2525 to get 22725.

$$y=-\frac{50500}{3}\sqrt{101}+22725+7$$

Add 22725 and 7 to get 22732.

$$y=-\frac{50500}{3}\sqrt{101}+22732$$

Assign y

$$y≔-\frac{50500\sqrt{101}}{3}+22732$$