Algebra
Calculus
Trigonometry
Matrix
Question
x2−2kx=2p
Solve the equation
Solve for x
Solve for k
Solve for p
x=4k+k2+32px=4k−k2+32p
Evaluate
x2−2kx=2p
Multiply the terms
x2−2kx=2p
Multiply both sides of the equation by LCD
(x2−2kx)×2=2p×2
Simplify the equation
More Steps
Evaluate
(x2−2kx)×2
Apply the distributive property
x2×2−2kx×2
Simplify
x2×2−kx
Use the commutative property to reorder the terms
2x2−kx
2x2−kx=2p×2
Simplify the equation
2x2−kx=4p
Move the expression to the left side
2x2−kx−4p=0
Substitute a=2,b=−k and c=−4p into the quadratic formula x=2a−b±b2−4ac
x=2×2k±(−k)2−4×2(−4p)
Simplify the expression
x=4k±(−k)2−4×2(−4p)
Simplify the expression
More Steps
Evaluate
(−k)2−4×2(−4p)
Multiply
More Steps
Multiply the terms
4×2(−4p)
Rewrite the expression
−4×2×4p
Multiply the terms
−32p
(−k)2−(−32p)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
(−k)2+32p
Evaluate the power
k2+32p
x=4k±k2+32p
Solution
x=4k+k2+32px=4k−k2+32p
Show Solution
