Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
Solve for x
Solve for d
Solve for k
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x=0
Evaluate
ld2×dt2x+kx=0
Multiply the terms
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Multiply the terms
ld2×dt2x
Cancel out the common factor d
ld×t2x
Multiply the terms
t2ldx
t2ldx+kx=0
Multiply both sides of the equation by LCD
(t2ldx+kx)t2=0×t2
Simplify the equation
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Evaluate
(t2ldx+kx)t2
Apply the distributive property
t2ldx×t2+kxt2
Simplify
ldx+kxt2
Use the commutative property to reorder the terms
ldx+kt2x
ldx+kt2x=0×t2
Any expression multiplied by 0 equals 0
ldx+kt2x=0
Simplify
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Evaluate
ldx+kt2x
Rewrite the expression
dlx+kt2x
Collect like terms by calculating the sum or difference of their coefficients
(dl+kt2)x
(dl+kt2)x=0
Solution
x=0
Show Solution
