Question
Simplify the expression
Solution
14x−35
Evaluate
4x+5(2x−7)
Expand the expression
More Steps

Calculate
5(2x−7)
Apply the distributive property
5×2x−5×7
Multiply the numbers
10x−5×7
Multiply the numbers
10x−35
4x+10x−35
Solution
More Steps

Evaluate
4x+10x
Collect like terms by calculating the sum or difference of their coefficients
(4+10)x
Add the numbers
14x
14x−35
Show Solution
Factor the expression
Factor
7(2x−5)
Evaluate
4x+5(2x−7)
Simplify
More Steps

Evaluate
5(2x−7)
Apply the distributive property
5×2x+5(−7)
Multiply the terms
10x+5(−7)
Multiply the terms
More Steps

Evaluate
5(−7)
Multiplying or dividing an odd number of negative terms equals a negative
−5×7
Multiply the numbers
−35
10x−35
4x+10x−35
Add the terms
More Steps

Evaluate
4x+10x
Collect like terms by calculating the sum or difference of their coefficients
(4+10)x
Add the numbers
14x
14x−35
Solution
7(2x−5)
Show Solution
Find the roots
Find the roots of the algebra expression
x=25
Alternative Form
x=2.5
Evaluate
4x+5(2x−7)
To find the roots of the expression,set the expression equal to 0
4x+5(2x−7)=0
Calculate
More Steps

Evaluate
4x+5(2x−7)
Expand the expression
More Steps

Calculate
5(2x−7)
Apply the distributive property
5×2x−5×7
Multiply the numbers
10x−5×7
Multiply the numbers
10x−35
4x+10x−35
Add the terms
More Steps

Evaluate
4x+10x
Collect like terms by calculating the sum or difference of their coefficients
(4+10)x
Add the numbers
14x
14x−35
14x−35=0
Move the constant to the right-hand side and change its sign
14x=0+35
Removing 0 doesn't change the value,so remove it from the expression
14x=35
Divide both sides
1414x=1435
Divide the numbers
x=1435
Solution
x=25
Alternative Form
x=2.5
Show Solution