Solve (30*17 (10*10))*x^22500 - 1600

Question

Simplify the expression

127500000 x^{2} - 1600

Show Solution

800 (159375 x^{2} - 2)

Show Solution

x_{1} = - \frac{510}{6375}, x_{2} = \frac{510}{6375}

Alternative Form

x_{1} \approx - 0.003542, x_{2} \approx 0.003542

Evaluate

(30 \times 17 (10 \times 10)) x^{2} \times 2500 - 1600

To find the roots of the expression,set the expression equal to 0

(30 \times 17 (10 \times 10)) x^{2} \times 2500 - 1600 = 0

Multiply the numbers

(30 \times 17 \times 100) x^{2} \times 2500 - 1600 = 0

Multiply the terms

More Steps

51000 x^{2} \times 2500 - 1600 = 0

Multiply the terms

127500000 x^{2} - 1600 = 0

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

127500000 x^{2} = 0 + 1600

Removing 0 doesn't change the value,so remove it from the expression

127500000 x^{2} = 1600

Divide both sides

\frac{127500000 x ^{2}}{127500000} = \frac{1600}{127500000}

Divide the numbers

x^{2} = \frac{1600}{127500000}

Cancel out the common factor 800

x^{2} = \frac{2}{159375}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm \frac{2}{159375}

Simplify the expression

More Steps

x = \pm \frac{510}{6375}

Separate the equation into 2 possible cases

x = \frac{510}{6375} x = - \frac{510}{6375}

Solution

x_{1} = - \frac{510}{6375}, x_{2} = \frac{510}{6375}

Alternative Form

x_{1} \approx - 0.003542, x_{2} \approx 0.003542

Show Solution