Solve 3x^2-75 - ScanMath

Evaluate

3 x^{2} - 75

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

3 x^{2} - 75 = 0

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

3 x^{2} = 0 + 75

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

3 x^{2} = 75

Divide both sides

\frac{3 x ^{2}}{3} = \frac{75}{3}

Divide the numbers

x^{2} = \frac{75}{3}

Divide the numbers

More Steps

x^{2} = 25

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

x = \pm 25

Simplify the expression

More Steps

x = \pm 5

Separate the equation into 2 possible cases

x = 5 x = - 5

Solution

x_{1} = - 5, x_{2} = 5

Factor the expression