Solve (9x^2-3x^4) -(4x^2-7x 12)

Question

Simplify the expression

5 x^{2} - 3 x^{4} + 84 x

Evaluate

(9 x^{2} - 3 x^{4}) - (4 x^{2} - 7 x \times 12)

Remove the parentheses

9 x^{2} - 3 x^{4} - (4 x^{2} - 7 x \times 12)

Multiply the terms

9 x^{2} - 3 x^{4} - (4 x^{2} - 84 x)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

9 x^{2} - 3 x^{4} - 4 x^{2} + 84 x

Solution

More Steps

Evaluate

9 x^{2} - 4 x^{2}

Collect like terms by calculating the sum or difference of their coefficients

(9 - 4) x^{2}

Subtract the numbers

5 x^{2}

5 x^{2} - 3 x^{4} + 84 x

Show Solution

Factor the expression

x (5 x - 3 x^{3} + 84)

Evaluate

(9 x^{2} - 3 x^{4}) - (4 x^{2} - 7 x \times 12)

Remove the parentheses

9 x^{2} - 3 x^{4} - (4 x^{2} - 7 x \times 12)

Multiply the terms

9 x^{2} - 3 x^{4} - (4 x^{2} - 84 x)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

9 x^{2} - 3 x^{4} - 4 x^{2} + 84 x

Subtract the terms

More Steps

Evaluate

9 x^{2} - 4 x^{2}

Collect like terms by calculating the sum or difference of their coefficients

(9 - 4) x^{2}

Subtract the numbers

5 x^{2}

5 x^{2} - 3 x^{4} + 84 x

Rewrite the expression

x \times 5 x - x \times 3 x^{3} + x \times 84

Solution

x (5 x - 3 x^{3} + 84)

Show Solution

Find the roots

x_{1} = 0, x_{2} \approx 3.219335

Evaluate

(9 x^{2} - 3 x^{4}) - (4 x^{2} - 7 x \times 12)

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

(9 x^{2} - 3 x^{4}) - (4 x^{2} - 7 x \times 12) = 0

Remove the parentheses

9 x^{2} - 3 x^{4} - (4 x^{2} - 7 x \times 12) = 0

Multiply the terms

9 x^{2} - 3 x^{4} - (4 x^{2} - 84 x) = 0

Subtract the terms

More Steps

Simplify

9 x^{2} - 3 x^{4} - (4 x^{2} - 84 x)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

9 x^{2} - 3 x^{4} - 4 x^{2} + 84 x

Subtract the terms

More Steps

Evaluate

9 x^{2} - 4 x^{2}

Collect like terms by calculating the sum or difference of their coefficients

(9 - 4) x^{2}

Subtract the numbers

5 x^{2}

5 x^{2} - 3 x^{4} + 84 x

5 x^{2} - 3 x^{4} + 84 x = 0

Factor the expression

x (5 x - 3 x^{3} + 84) = 0

Separate the equation into 2 possible cases

x = 0 5 x - 3 x^{3} + 84 = 0

Solve the equation

x = 0 x \approx 3.219335

Solution

x_{1} = 0, x_{2} \approx 3.219335

Show Solution