Solve 25x^3 15x^2-9x 1 : (x 1)

Simplify the expression

375 x^{5} - 9

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x = 0

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3 (125 x^{5} - 3)

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x = \frac{5 75}{5}

Alternative Form

x \approx 0.474288

Evaluate

25 x^{3} \times 15 x^{2} - 9 x \times 1 \div (x \times 1)

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

25 x^{3} \times 15 x^{2} - 9 x \times 1 \div (x \times 1) = 0

Any expression multiplied by 1 remains the same

25 x^{3} \times 15 x^{2} - 9 x \times 1 \div (x \times 1) = 0, x \neq = 0

Calculate

25 x^{3} \times 15 x^{2} - 9 x \times 1 \div (x \times 1) = 0

Any expression multiplied by 1 remains the same

25 x^{3} \times 15 x^{2} - 9 x \times 1 \div x = 0

Multiply the terms

25 x^{3} \times 15 x^{2} - 9 x \div x = 0

Multiply

More Steps

375 x^{5} - 9 x \div x = 0

Divide the terms

More Steps

375 x^{5} - 9 = 0

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

375 x^{5} = 0 + 9

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

375 x^{5} = 9

Divide both sides

\frac{375 x ^{5}}{375} = \frac{9}{375}

Divide the numbers

x^{5} = \frac{9}{375}

Cancel out the common factor 3

x^{5} = \frac{3}{125}

Take the 5 -th root on both sides of the equation

5 x^{5} = 5 \frac{3}{125}

Calculate

x = 5 \frac{3}{125}

Simplify the root

More Steps

x = \frac{5 75}{5}

Check if the solution is in the defined range

x = \frac{5 75}{5}, x \neq = 0

Solution

x = \frac{5 75}{5}

Alternative Form

x \approx 0.474288

Show Solution