Question
Solve the equation
x1=−610,x2=0,x3=610
Alternative Form
x1≈−0.527046,x2=0,x3≈0.527046
Evaluate
59x3×2=x
Multiply the terms
More Steps

Evaluate
59×2
Multiply the numbers
59×2
Multiply the numbers
518
518x3=x
Add or subtract both sides
518x3−x=0
Factor the expression
x(518x2−1)=0
Separate the equation into 2 possible cases
x=0518x2−1=0
Solve the equation
More Steps

Evaluate
518x2−1=0
Move the constant to the right-hand side and change its sign
518x2=0+1
Removing 0 doesn't change the value,so remove it from the expression
518x2=1
Multiply by the reciprocal
518x2×185=1×185
Multiply
x2=1×185
Any expression multiplied by 1 remains the same
x2=185
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±185
Simplify the expression
More Steps

Evaluate
185
To take a root of a fraction,take the root of the numerator and denominator separately
185
Simplify the radical expression
325
Multiply by the Conjugate
32×25×2
Multiply the numbers
32×210
Multiply the numbers
610
x=±610
Separate the equation into 2 possible cases
x=610x=−610
x=0x=610x=−610
Solution
x1=−610,x2=0,x3=610
Alternative Form
x1≈−0.527046,x2=0,x3≈0.527046
Show Solution
