Algebra
Calculus
Trigonometry
Matrix
Question
−94(x−3)2×8
Simplify the expression
−932x2+364x−32
Evaluate
−94(x−3)2×8
Multiply the terms
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Evaluate
94×8
Multiply the numbers
94×8
Multiply the numbers
932
−932(x−3)2
Expand the expression
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Evaluate
(x−3)2
Use (a−b)2=a2−2ab+b2 to expand the expression
x2−2x×3+32
Calculate
x2−6x+9
−932(x2−6x+9)
Apply the distributive property
−932x2−(−932×6x)−932×9
Multiply the numbers
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Evaluate
−932×6
Reduce the numbers
−332×2
Multiply the numbers
−332×2
Multiply the numbers
−364
−932x2−(−364x)−932×9
Multiply the numbers
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Evaluate
−932×9
Reduce the numbers
−32×1
Simplify
−32
−932x2−(−364x)−32
Solution
−932x2+364x−32
Show Solution
Find the roots
x=3
Evaluate
−94(x−3)2×8
To find the roots of the expression,set the expression equal to 0
−94(x−3)2×8=0
Multiply the terms
More Steps
Multiply the terms
94(x−3)2×8
Multiply the terms
More Steps
Evaluate
94×8
Multiply the numbers
94×8
Multiply the numbers
932
932(x−3)2
−932(x−3)2=0
Change the sign
932(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