Solve 5x^2 7x-6 - ScanMath

Question

Simplify the expression

35 x^{3} - 6

Evaluate

5 x^{2} \times 7 x - 6

Solution

More Steps

Evaluate

5 x^{2} \times 7 x

Multiply the terms

35 x^{2} \times x

Multiply the terms with the same base by adding their exponents

35 x^{2 + 1}

Add the numbers

35 x^{3}

35 x^{3} - 6

Show Solution

x = \frac{3 7350}{35}

Alternative Form

x \approx 0.555513

Evaluate

5 x^{2} \times 7 x - 6

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

5 x^{2} \times 7 x - 6 = 0

Multiply

More Steps

Multiply the terms

5 x^{2} \times 7 x

Multiply the terms

35 x^{2} \times x

Multiply the terms with the same base by adding their exponents

35 x^{2 + 1}

Add the numbers

35 x^{3}

35 x^{3} - 6 = 0

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

35 x^{3} = 0 + 6

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

35 x^{3} = 6

Divide both sides

\frac{35 x ^{3}}{35} = \frac{6}{35}

Divide the numbers

x^{3} = \frac{6}{35}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 \frac{6}{35}

Calculate

x = 3 \frac{6}{35}

Solution

More Steps

Evaluate

3 \frac{6}{35}

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

\frac{3 6}{3 35}

Multiply by the Conjugate

\frac{3 6 \times 3 3 5 ^{2}}{3 35 \times 3 3 5 ^{2}}

Simplify

\frac{3 6 \times 3 1225}{3 35 \times 3 3 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

36 \times 31225

The product of roots with the same index is equal to the root of the product

3 6 \times 1225

Calculate the product

37350

\frac{3 7350}{3 35 \times 3 3 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

335 \times 3 3 5^{2}

The product of roots with the same index is equal to the root of the product

3 35 \times 3 5^{2}

Calculate the product

3 3 5^{3}

Reduce the index of the radical and exponent with 3

35

\frac{3 7350}{35}

x = \frac{3 7350}{35}

Alternative Form

x \approx 0.555513

Show Solution