Solve (35x75) (35x^25)=35x

Question

Solve the equation

x_{1} = - \frac{21}{525}, x_{2} = 0, x_{3} = \frac{21}{525}

Alternative Form

x_{1} \approx - 0.008729, x_{2} = 0, x_{3} \approx 0.008729

Evaluate

(35 x \times 75) (35 x^{2} \times 5) = 35 x

Remove the parentheses

35 x \times 75 \times 35 x^{2} \times 5 = 35 x

Multiply

More Steps

Evaluate

35 x \times 75 \times 35 x^{2} \times 5

Multiply the terms

More Steps

Evaluate

35 \times 75 \times 35 \times 5

Multiply the terms

2625 \times 35 \times 5

Multiply the terms

91875 \times 5

Multiply the numbers

459375

459375 x \times x^{2}

Multiply the terms with the same base by adding their exponents

459375 x^{1 + 2}

Add the numbers

459375 x^{3}

459375 x^{3} = 35 x

Add or subtract both sides

459375 x^{3} - 35 x = 0

Factor the expression

35 x (13125 x^{2} - 1) = 0

Divide both sides

x (13125 x^{2} - 1) = 0

Separate the equation into 2 possible cases

x = 0 13125 x^{2} - 1 = 0

Solve the equation

More Steps

Evaluate

13125 x^{2} - 1 = 0

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

13125 x^{2} = 0 + 1

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

13125 x^{2} = 1

Divide both sides

\frac{13125 x ^{2}}{13125} = \frac{1}{13125}

Divide the numbers

x^{2} = \frac{1}{13125}

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

x = \pm \frac{1}{13125}

Simplify the expression

More Steps

Evaluate

\frac{1}{13125}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{1}{13125}

Simplify the radical expression

\frac{1}{13125}

Simplify the radical expression

\frac{1}{25 21}

Multiply by the Conjugate

\frac{21}{25 21 \times 21}

Multiply the numbers

\frac{21}{525}

x = \pm \frac{21}{525}

Separate the equation into 2 possible cases

x = \frac{21}{525} x = - \frac{21}{525}

x = 0 x = \frac{21}{525} x = - \frac{21}{525}

Solution

x_{1} = - \frac{21}{525}, x_{2} = 0, x_{3} = \frac{21}{525}

Alternative Form

x_{1} \approx - 0.008729, x_{2} = 0, x_{3} \approx 0.008729

Show Solution