Question
Solve the equation
x1=−242,x2=0,x3=242
Alternative Form
x1≈−3.24037,x2=0,x3≈3.24037
Evaluate
2x3=3x×7
Multiply the terms
2x3=21x
Add or subtract both sides
2x3−21x=0
Factor the expression
x(2x2−21)=0
Separate the equation into 2 possible cases
x=02x2−21=0
Solve the equation
More Steps

Evaluate
2x2−21=0
Move the constant to the right-hand side and change its sign
2x2=0+21
Removing 0 doesn't change the value,so remove it from the expression
2x2=21
Divide both sides
22x2=221
Divide the numbers
x2=221
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±221
Simplify the expression
More Steps

Evaluate
221
To take a root of a fraction,take the root of the numerator and denominator separately
221
Multiply by the Conjugate
2×221×2
Multiply the numbers
2×242
When a square root of an expression is multiplied by itself,the result is that expression
242
x=±242
Separate the equation into 2 possible cases
x=242x=−242
x=0x=242x=−242
Solution
x1=−242,x2=0,x3=242
Alternative Form
x1≈−3.24037,x2=0,x3≈3.24037
Show Solution
