Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
2(x−7)(5x+8)
Evaluate
10x2−54x−112
Rewrite the expression
2×5x2−2×27x−2×56
Factor out 2 from the expression
2(5x2−27x−56)
Solution
More Steps
Evaluate
5x2−27x−56
Rewrite the expression
5x2+(8−35)x−56
Calculate
5x2+8x−35x−56
Rewrite the expression
x×5x+x×8−7×5x−7×8
Factor out x from the expression
x(5x+8)−7×5x−7×8
Factor out −7 from the expression
x(5x+8)−7(5x+8)
Factor out 5x+8 from the expression
(x−7)(5x+8)
2(x−7)(5x+8)
Show Solution
Find the roots
x1=−58,x2=7
Alternative Form
x1=−1.6,x2=7
Evaluate
10x2−54x−112
To find the roots of the expression,set the expression equal to 0
10x2−54x−112=0
Factor the expression
More Steps
Evaluate
10x2−54x−112
Rewrite the expression
2×5x2−2×27x−2×56
Factor out 2 from the expression
2(5x2−27x−56)
Factor the expression
More Steps
Evaluate
5x2−27x−56
Rewrite the expression
5x2+(8−35)x−56
Calculate
5x2+8x−35x−56
Rewrite the expression
x×5x+x×8−7×5x−7×8
Factor out x from the expression
x(5x+8)−7×5x−7×8
Factor out −7 from the expression
x(5x+8)−7(5x+8)
Factor out 5x+8 from the expression
(x−7)(5x+8)
2(x−7)(5x+8)
2(x−7)(5x+8)=0
Divide the terms
(x−7)(5x+8)=0
When the product of factors equals 0,at least one factor is 0
x−7=05x+8=0
Solve the equation for x
More Steps
Evaluate
x−7=0
Move the constant to the right-hand side and change its sign
x=0+7
Removing 0 doesn't change the value,so remove it from the expression
x=7
x=75x+8=0
Solve the equation for x
More Steps
Evaluate
5x+8=0
Move the constant to the right-hand side and change its sign
5x=0−8
Removing 0 doesn't change the value,so remove it from the expression
5x=−8
Divide both sides
55x=5−8
Divide the numbers
x=5−8
Use b−a=−ba=−ba to rewrite the fraction
x=−58
x=7x=−58
Solution
x1=−58,x2=7
Alternative Form
x1=−1.6,x2=7
Show Solution