Solve 420=25*x 15*3x

Evaluate

420 = 25 x \times 15 \times 3 x

Multiply

More Steps

420 = 1125 x^{2}

Swap the sides

1125 x^{2} = 420

Divide both sides

\frac{1125 x ^{2}}{1125} = \frac{420}{1125}

Divide the numbers

x^{2} = \frac{28}{75}

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

x = \pm \frac{28}{75}

Simplify the expression

x = \pm \frac{2 21}{15}

Separate the equation into 2 possible cases

x = \frac{2 21}{15} x = - \frac{2 21}{15}

Solution

x_{1} = - \frac{2 21}{15}, x_{2} = \frac{2 21}{15}

Alternative Form

x_{1} \approx - 0.61101, x_{2} \approx 0.61101

Solve the quadratic equation