Question
Factor the expression
2(x−1)(8x+3)
Evaluate
16x2−10x−6
Rewrite the expression
2×8x2−2×5x−2×3
Factor out 2 from the expression
2(8x2−5x−3)
Solution
More Steps
Evaluate
8x2−5x−3
Rewrite the expression
8x2+(3−8)x−3
Calculate
8x2+3x−8x−3
Rewrite the expression
x×8x+x×3−8x−3
Factor out x from the expression
x(8x+3)−8x−3
Factor out −1 from the expression
x(8x+3)−(8x+3)
Factor out 8x+3 from the expression
(x−1)(8x+3)
2(x−1)(8x+3)
Show Solution
Find the roots
x1=−83,x2=1
Alternative Form
x1=−0.375,x2=1
Evaluate
16x2−10x−6
To find the roots of the expression,set the expression equal to 0
16x2−10x−6=0
Factor the expression
More Steps
Evaluate
16x2−10x−6
Rewrite the expression
2×8x2−2×5x−2×3
Factor out 2 from the expression
2(8x2−5x−3)
Factor the expression
More Steps
Evaluate
8x2−5x−3
Rewrite the expression
8x2+(3−8)x−3
Calculate
8x2+3x−8x−3
Rewrite the expression
x×8x+x×3−8x−3
Factor out x from the expression
x(8x+3)−8x−3
Factor out −1 from the expression
x(8x+3)−(8x+3)
Factor out 8x+3 from the expression
(x−1)(8x+3)
2(x−1)(8x+3)
2(x−1)(8x+3)=0
Divide the terms
(x−1)(8x+3)=0
When the product of factors equals 0,at least one factor is 0
x−1=08x+3=0
Solve the equation for x
More Steps
Evaluate
x−1=0
Move the constant to the right-hand side and change its sign
x=0+1
Removing 0 doesn't change the value,so remove it from the expression
x=1
x=18x+3=0
Solve the equation for x
More Steps
Evaluate
8x+3=0
Move the constant to the right-hand side and change its sign
8x=0−3
Removing 0 doesn't change the value,so remove it from the expression
8x=−3
Divide both sides
88x=8−3
Divide the numbers
x=8−3
Use b−a=−ba=−ba to rewrite the fraction
x=−83
x=1x=−83
Solution
x1=−83,x2=1
Alternative Form
x1=−0.375,x2=1
Show Solution