Question
Solve the equation
x1=−214,x2=0,x3=214
Alternative Form
x1≈−1.870829,x2=0,x3≈1.870829
Evaluate
2x3=x×7
Use the commutative property to reorder the terms
2x3=7x
Add or subtract both sides
2x3−7x=0
Factor the expression
x(2x2−7)=0
Separate the equation into 2 possible cases
x=02x2−7=0
Solve the equation
More Steps

Evaluate
2x2−7=0
Move the constant to the right-hand side and change its sign
2x2=0+7
Removing 0 doesn't change the value,so remove it from the expression
2x2=7
Divide both sides
22x2=27
Divide the numbers
x2=27
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±27
Simplify the expression
More Steps

Evaluate
27
To take a root of a fraction,take the root of the numerator and denominator separately
27
Multiply by the Conjugate
2×27×2
Multiply the numbers
2×214
When a square root of an expression is multiplied by itself,the result is that expression
214
x=±214
Separate the equation into 2 possible cases
x=214x=−214
x=0x=214x=−214
Solution
x1=−214,x2=0,x3=214
Alternative Form
x1≈−1.870829,x2=0,x3≈1.870829
Show Solution
