Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−94x2+38x−4
Evaluate
−94(x−3)2
Expand the expression
More Steps
Evaluate
(x−3)2
Use (a−b)2=a2−2ab+b2 to expand the expression
x2−2x×3+32
Calculate
x2−6x+9
−94(x2−6x+9)
Apply the distributive property
−94x2−(−94×6x)−94×9
Multiply the numbers
More Steps
Evaluate
−94×6
Reduce the numbers
−34×2
Multiply the numbers
−34×2
Multiply the numbers
−38
−94x2−(−38x)−94×9
Multiply the numbers
More Steps
Evaluate
−94×9
Reduce the numbers
−4×1
Simplify
−4
−94x2−(−38x)−4
Solution
−94x2+38x−4
Show Solution
Find the roots
x=3
Evaluate
−94(x−3)2
To find the roots of the expression,set the expression equal to 0
−94(x−3)2=0
Change the sign
94(x−3)2=0
Rewrite the expression
(x−3)2=0
The only way a power can be 0 is when the base equals 0
x−3=0
Move the constant to the right-hand side and change its sign
x=0+3
Solution
x=3
Show Solution