Question
Solve the equation
x∈/R
Alternative Form
No real solution
Evaluate
(−25x)2−10x+21=0
Multiply both sides of the equation by LCD
((−25x)2−10x+21)×1250=0×1250
Simplify the equation
More Steps

Evaluate
((−25x)2−10x+21)×1250
Apply the distributive property
(−25x)2×1250−10x×1250+21×1250
Simplify
x2×2−x×125+21×1250
Use the commutative property to reorder the terms
2x2−x×125+21×1250
Use the commutative property to reorder the terms
2x2−125x+21×1250
Multiply the numbers
2x2−125x+26250
2x2−125x+26250=0×1250
Any expression multiplied by 0 equals 0
2x2−125x+26250=0
Substitute a=2,b=−125 and c=26250 into the quadratic formula x=2a−b±b2−4ac
x=2×2125±(−125)2−4×2×26250
Simplify the expression
x=4125±(−125)2−4×2×26250
Simplify the expression
More Steps

Evaluate
(−125)2−4×2×26250
Multiply the terms
More Steps

Multiply the terms
4×2×26250
Multiply the terms
8×26250
Multiply the numbers
210000
(−125)2−210000
Rewrite the expression
1252−210000
Evaluate the power
15625−210000
Subtract the numbers
−194375
x=4125±−194375
Solution
x∈/R
Alternative Form
No real solution
Show Solution
