Question
Solve the equation
x∈/R
Alternative Form
No real solution
Evaluate
x−720×10xx−410=0
Simplify
More Steps

Evaluate
x−720×10xx−410
Cancel out the common factor 2
x−720×10xx−25
Multiply the terms
x−72x2−25
x−72x2−25=0
Multiply both sides of the equation by LCD
(x−72x2−25)×14=0×14
Simplify the equation
More Steps

Evaluate
(x−72x2−25)×14
Apply the distributive property
x×14−72x2×14−25×14
Simplify
x×14−2x2×2−5×7
Use the commutative property to reorder the terms
14x−2x2×2−5×7
Multiply the numbers
14x−4x2−5×7
Multiply the numbers
14x−4x2−35
14x−4x2−35=0×14
Any expression multiplied by 0 equals 0
14x−4x2−35=0
Rewrite in standard form
−4x2+14x−35=0
Multiply both sides
4x2−14x+35=0
Substitute a=4,b=−14 and c=35 into the quadratic formula x=2a−b±b2−4ac
x=2×414±(−14)2−4×4×35
Simplify the expression
x=814±(−14)2−4×4×35
Simplify the expression
More Steps

Evaluate
(−14)2−4×4×35
Multiply the terms
More Steps

Multiply the terms
4×4×35
Multiply the terms
16×35
Multiply the numbers
560
(−14)2−560
Rewrite the expression
142−560
Evaluate the power
196−560
Subtract the numbers
−364
x=814±−364
Solution
x∈/R
Alternative Form
No real solution
Show Solution
