Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
309x−42x3−6
Evaluate
3x(99−(4+2(21÷3)x2)+8)−6
Divide the numbers
3x(99−(4+2×7x2)+8)−6
Multiply the terms
3x(99−(4+14x2)+8)−6
Calculate the sum or difference
More Steps
Evaluate
99−(4+14x2)+8
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
99−4−14x2+8
Calculate the sum or difference
103−14x2
3x(103−14x2)−6
Solution
More Steps
Evaluate
3x(103−14x2)
Apply the distributive property
3x×103−3x×14x2
Multiply the numbers
309x−3x×14x2
Multiply the terms
More Steps
Evaluate
3x×14x2
Multiply the numbers
42x×x2
Multiply the terms
42x3
309x−42x3
309x−42x3−6
Show Solution
Factor the expression
3(103x−14x3−2)
Evaluate
3x(99−(4+2(21÷3)x2)+8)−6
Divide the numbers
3x(99−(4+2×7x2)+8)−6
Multiply the terms
3x(99−(4+14x2)+8)−6
Subtract the terms
More Steps
Simplify
99−(4+14x2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
99−4−14x2
Subtract the numbers
95−14x2
3x(95−14x2+8)−6
Add the numbers
3x(103−14x2)−6
Simplify
More Steps
Evaluate
3x(103−14x2)
Apply the distributive property
3x×103+3x(−14x2)
Multiply the terms
309x+3x(−14x2)
Multiply the terms
More Steps
Evaluate
3x(−14x2)
Multiply the numbers
−42x×x2
Multiply the terms
−42x3
309x−42x3
309x−42x3−6
Solution
3(103x−14x3−2)
Show Solution
Find the roots
x1≈−2.722062,x2≈0.019418,x3≈2.702644
Evaluate
3x(99−(4+2(21÷3)x2)+8)−6
To find the roots of the expression,set the expression equal to 0
3x(99−(4+2(21÷3)x2)+8)−6=0
Divide the numbers
3x(99−(4+2×7x2)+8)−6=0
Multiply the terms
3x(99−(4+14x2)+8)−6=0
Subtract the terms
More Steps
Simplify
99−(4+14x2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
99−4−14x2
Subtract the numbers
95−14x2
3x(95−14x2+8)−6=0
Add the numbers
3x(103−14x2)−6=0
Calculate
More Steps
Evaluate
3x(103−14x2)
Apply the distributive property
3x×103−3x×14x2
Multiply the numbers
309x−3x×14x2
Multiply the terms
More Steps
Evaluate
3x×14x2
Multiply the numbers
42x×x2
Multiply the terms
42x3
309x−42x3
309x−42x3−6=0
Factor the expression
3(103x−14x3−2)=0
Divide both sides
103x−14x3−2=0
Calculate
x≈−2.722062x≈0.019418x≈2.702644
Solution
x1≈−2.722062,x2≈0.019418,x3≈2.702644
Show Solution