Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3x2−14x+8
Evaluate
3x(x−4)−2(x−4)
Expand the expression
More Steps
Calculate
3x(x−4)
Apply the distributive property
3x×x−3x×4
Multiply the terms
3x2−3x×4
Multiply the numbers
3x2−12x
3x2−12x−2(x−4)
Expand the expression
More Steps
Calculate
−2(x−4)
Apply the distributive property
−2x−(−2×4)
Multiply the numbers
−2x−(−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
−2x+8
3x2−12x−2x+8
Solution
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Evaluate
−12x−2x
Collect like terms by calculating the sum or difference of their coefficients
(−12−2)x
Subtract the numbers
−14x
3x2−14x+8
Show Solution
Factor the expression
(3x−2)(x−4)
Evaluate
3x(x−4)−2(x−4)
Solution
(3x−2)(x−4)
Show Solution
Find the roots
x1=32,x2=4
Alternative Form
x1=0.6˙,x2=4
Evaluate
3x(x−4)−2(x−4)
To find the roots of the expression,set the expression equal to 0
3x(x−4)−2(x−4)=0
Calculate
More Steps
Evaluate
3x(x−4)−2(x−4)
Expand the expression
More Steps
Calculate
3x(x−4)
Apply the distributive property
3x×x−3x×4
Multiply the terms
3x2−3x×4
Multiply the numbers
3x2−12x
3x2−12x−2(x−4)
Expand the expression
More Steps
Calculate
−2(x−4)
Apply the distributive property
−2x−(−2×4)
Multiply the numbers
−2x−(−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
−2x+8
3x2−12x−2x+8
Subtract the terms
More Steps
Evaluate
−12x−2x
Collect like terms by calculating the sum or difference of their coefficients
(−12−2)x
Subtract the numbers
−14x
3x2−14x+8
3x2−14x+8=0
Factor the expression
More Steps
Evaluate
3x2−14x+8
Rewrite the expression
3x2+(−2−12)x+8
Calculate
3x2−2x−12x+8
Rewrite the expression
x×3x−x×2−4×3x+4×2
Factor out x from the expression
x(3x−2)−4×3x+4×2
Factor out −4 from the expression
x(3x−2)−4(3x−2)
Factor out 3x−2 from the expression
(x−4)(3x−2)
(x−4)(3x−2)=0
When the product of factors equals 0,at least one factor is 0
x−4=03x−2=0
Solve the equation for x
More Steps
Evaluate
x−4=0
Move the constant to the right-hand side and change its sign
x=0+4
Removing 0 doesn't change the value,so remove it from the expression
x=4
x=43x−2=0
Solve the equation for x
More Steps
Evaluate
3x−2=0
Move the constant to the right-hand side and change its sign
3x=0+2
Removing 0 doesn't change the value,so remove it from the expression
3x=2
Divide both sides
33x=32
Divide the numbers
x=32
x=4x=32
Solution
x1=32,x2=4
Alternative Form
x1=0.6˙,x2=4
Show Solution