Question
Simplify the expression
16p+8
Evaluate
−8(−3p−1)−8p
Expand the expression
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Calculate
−8(−3p−1)
Apply the distributive property
−8(−3p)−(−8×1)
Multiply the numbers
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Evaluate
−8(−3)
Multiplying or dividing an even number of negative terms equals a positive
8×3
Multiply the numbers
24
24p−(−8×1)
Any expression multiplied by 1 remains the same
24p−(−8)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
24p+8
24p+8−8p
Solution
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Evaluate
24p−8p
Collect like terms by calculating the sum or difference of their coefficients
(24−8)p
Subtract the numbers
16p
16p+8
Show Solution

Factor the expression
8(2p+1)
Evaluate
−8(−3p−1)−8p
Simplify
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Evaluate
−8(−3p−1)
Apply the distributive property
−8(−3p)−8(−1)
Multiply the terms
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Evaluate
−8(−3)
Multiplying or dividing an even number of negative terms equals a positive
8×3
Multiply the numbers
24
24p−8(−1)
Multiply the terms
24p+8
24p+8−8p
Subtract the terms
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Evaluate
24p−8p
Collect like terms by calculating the sum or difference of their coefficients
(24−8)p
Subtract the numbers
16p
16p+8
Solution
8(2p+1)
Show Solution

Find the roots
p=−21
Alternative Form
p=−0.5
Evaluate
−8(−3p−1)−8p
To find the roots of the expression,set the expression equal to 0
−8(−3p−1)−8p=0
Calculate
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Evaluate
−8(−3p−1)−8p
Expand the expression
More Steps

Calculate
−8(−3p−1)
Apply the distributive property
−8(−3p)−(−8×1)
Multiply the numbers
24p−(−8×1)
Any expression multiplied by 1 remains the same
24p−(−8)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
24p+8
24p+8−8p
Subtract the terms
More Steps

Evaluate
24p−8p
Collect like terms by calculating the sum or difference of their coefficients
(24−8)p
Subtract the numbers
16p
16p+8
16p+8=0
Move the constant to the right-hand side and change its sign
16p=0−8
Removing 0 doesn't change the value,so remove it from the expression
16p=−8
Divide both sides
1616p=16−8
Divide the numbers
p=16−8
Solution
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Evaluate
16−8
Cancel out the common factor 8
2−1
Use b−a=−ba=−ba to rewrite the fraction
−21
p=−21
Alternative Form
p=−0.5
Show Solution
