Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
6x3−5x2−156x
Evaluate
6x3−5x2−13x×12
Solution
6x3−5x2−156x
Show Solution
Factor the expression
x(6x2−5x−156)
Evaluate
6x3−5x2−13x×12
Multiply the terms
6x3−5x2−156x
Rewrite the expression
x×6x2−x×5x−x×156
Solution
x(6x2−5x−156)
Show Solution
Find the roots
x1=125−3769,x2=0,x3=125+3769
Alternative Form
x1≈−4.699348,x2=0,x3≈5.532682
Evaluate
6x3−5x2−13x×12
To find the roots of the expression,set the expression equal to 0
6x3−5x2−13x×12=0
Multiply the terms
6x3−5x2−156x=0
Factor the expression
x(6x2−5x−156)=0
Separate the equation into 2 possible cases
x=06x2−5x−156=0
Solve the equation
More Steps
Evaluate
6x2−5x−156=0
Substitute a=6,b=−5 and c=−156 into the quadratic formula x=2a−b±b2−4ac
x=2×65±(−5)2−4×6(−156)
Simplify the expression
x=125±(−5)2−4×6(−156)
Simplify the expression
More Steps
Evaluate
(−5)2−4×6(−156)
Multiply
(−5)2−(−3744)
Rewrite the expression
52−(−3744)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
52+3744
Evaluate the power
25+3744
Add the numbers
3769
x=125±3769
Separate the equation into 2 possible cases
x=125+3769x=125−3769
x=0x=125+3769x=125−3769
Solution
x1=125−3769,x2=0,x3=125+3769
Alternative Form
x1≈−4.699348,x2=0,x3≈5.532682
Show Solution