Solve (2p^2-3p^4-(24p-3p^2))

Question

Simplify the expression

5 p^{2} - 3 p^{4} - 24 p

Evaluate

2 p^{2} - 3 p^{4} - (24 p - 3 p^{2})

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

2 p^{2} - 3 p^{4} - 24 p + 3 p^{2}

Solution

More Steps

Evaluate

2 p^{2} + 3 p^{2}

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

(2 + 3) p^{2}

Add the numbers

5 p^{2}

5 p^{2} - 3 p^{4} - 24 p

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Factor the expression

p (5 p - 3 p^{3} - 24)

Evaluate

2 p^{2} - 3 p^{4} - (24 p - 3 p^{2})

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

2 p^{2} - 3 p^{4} - 24 p + 3 p^{2}

Add the terms

More Steps

Evaluate

2 p^{2} + 3 p^{2}

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

(2 + 3) p^{2}

Add the numbers

5 p^{2}

5 p^{2} - 3 p^{4} - 24 p

Rewrite the expression

p \times 5 p - p \times 3 p^{3} - p \times 24

Solution

p (5 p - 3 p^{3} - 24)

Show Solution

Find the roots

p_{1} \approx - 2.276234, p_{2} = 0

Evaluate

(2 p^{2} - 3 p^{4} - (24 p - 3 p^{2}))

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

2 p^{2} - 3 p^{4} - (24 p - 3 p^{2}) = 0

Subtract the terms

More Steps

Simplify

2 p^{2} - 3 p^{4} - (24 p - 3 p^{2})

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

2 p^{2} - 3 p^{4} - 24 p + 3 p^{2}

Add the terms

More Steps

Evaluate

2 p^{2} + 3 p^{2}

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

(2 + 3) p^{2}

Add the numbers

5 p^{2}

5 p^{2} - 3 p^{4} - 24 p

5 p^{2} - 3 p^{4} - 24 p = 0

Factor the expression

p (5 p - 3 p^{3} - 24) = 0

Separate the equation into 2 possible cases

p = 0 5 p - 3 p^{3} - 24 = 0

Solve the equation

p = 0 p \approx - 2.276234

Solution

p_{1} \approx - 2.276234, p_{2} = 0

Show Solution