Question
Simplify the expression
Solution
−51+30w
Evaluate
6+8(4w−7)−(2w+1)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
6+8(4w−7)−2w−1
Expand the expression
More Steps
Calculate
8(4w−7)
Apply the distributive property
8×4w−8×7
Multiply the numbers
32w−8×7
Multiply the numbers
32w−56
6+32w−56−2w−1
Subtract the numbers
−51+32w−2w
Solution
More Steps
Evaluate
32w−2w
Collect like terms by calculating the sum or difference of their coefficients
(32−2)w
Subtract the numbers
30w
−51+30w
Show Solution
Factor the expression
Factor
3(−17+10w)
Evaluate
6+8(4w−7)−(2w+1)
Simplify
More Steps
Evaluate
8(4w−7)
Apply the distributive property
8×4w+8(−7)
Multiply the terms
32w+8(−7)
Multiply the terms
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Evaluate
8(−7)
Multiplying or dividing an odd number of negative terms equals a negative
−8×7
Multiply the numbers
−56
32w−56
6+32w−56−(2w+1)
Simplify
6+32w−56−2w−1
Subtract the numbers
More Steps
Evaluate
6−56−1
Subtract the terms
−50−1
Subtract the terms
−51
−51+32w−2w
Subtract the terms
More Steps
Evaluate
32w−2w
Collect like terms by calculating the sum or difference of their coefficients
(32−2)w
Subtract the numbers
30w
−51+30w
Solution
3(−17+10w)
Show Solution
Find the roots
Find the roots of the algebra expression
w=1017
Alternative Form
w=1.7
Evaluate
6+8(4w−7)−(2w+1)
To find the roots of the expression,set the expression equal to 0
6+8(4w−7)−(2w+1)=0
Add the terms
More Steps
Evaluate
6+8(4w−7)
Expand the expression
More Steps
Calculate
8(4w−7)
Apply the distributive property
8×4w−8×7
Multiply the numbers
32w−8×7
Multiply the numbers
32w−56
6+32w−56
Subtract the numbers
−50+32w
−50+32w−(2w+1)=0
Subtract the terms
More Steps
Simplify
−50+32w−(2w+1)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−50+32w−2w−1
Subtract the numbers
−51+32w−2w
Subtract the terms
More Steps
Evaluate
32w−2w
Collect like terms by calculating the sum or difference of their coefficients
(32−2)w
Subtract the numbers
30w
−51+30w
−51+30w=0
Move the constant to the right-hand side and change its sign
30w=0+51
Removing 0 doesn't change the value,so remove it from the expression
30w=51
Divide both sides
3030w=3051
Divide the numbers
w=3051
Solution
w=1017
Alternative Form
w=1.7
Show Solution