Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
16x−64
Evaluate
8x−4(16−2x)
Expand the expression
More Steps
Calculate
−4(16−2x)
Apply the distributive property
−4×16−(−4×2x)
Multiply the numbers
−64−(−4×2x)
Multiply the numbers
−64−(−8x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−64+8x
8x−64+8x
Solution
More Steps
Evaluate
8x+8x
Collect like terms by calculating the sum or difference of their coefficients
(8+8)x
Add the numbers
16x
16x−64
Show Solution
Factor the expression
16(x−4)
Evaluate
8x−4(16−2x)
Simplify
More Steps
Evaluate
−4(16−2x)
Apply the distributive property
−4×16−4(−2x)
Multiply the terms
−64−4(−2x)
Multiply the terms
More Steps
Evaluate
−4(−2)
Multiplying or dividing an even number of negative terms equals a positive
4×2
Multiply the numbers
8
−64+8x
8x−64+8x
Add the terms
More Steps
Evaluate
8x+8x
Collect like terms by calculating the sum or difference of their coefficients
(8+8)x
Add the numbers
16x
16x−64
Solution
16(x−4)
Show Solution
Find the roots
x=4
Evaluate
8x−4(16−2x)
To find the roots of the expression,set the expression equal to 0
8x−4(16−2x)=0
Calculate
More Steps
Evaluate
8x−4(16−2x)
Expand the expression
More Steps
Calculate
−4(16−2x)
Apply the distributive property
−4×16−(−4×2x)
Multiply the numbers
−64−(−4×2x)
Multiply the numbers
−64−(−8x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−64+8x
8x−64+8x
Add the terms
More Steps
Evaluate
8x+8x
Collect like terms by calculating the sum or difference of their coefficients
(8+8)x
Add the numbers
16x
16x−64
16x−64=0
Move the constant to the right-hand side and change its sign
16x=0+64
Removing 0 doesn't change the value,so remove it from the expression
16x=64
Divide both sides
1616x=1664
Divide the numbers
x=1664
Solution
More Steps
Evaluate
1664
Reduce the numbers
14
Calculate
4
x=4
Show Solution