Question
Solve the equation
x1=−27,x2=0,x3=27
Alternative Form
x1≈−1.322876,x2=0,x3≈1.322876
Evaluate
4x3=7x
Add or subtract both sides
4x3−7x=0
Factor the expression
x(4x2−7)=0
Separate the equation into 2 possible cases
x=04x2−7=0
Solve the equation
More Steps

Evaluate
4x2−7=0
Move the constant to the right-hand side and change its sign
4x2=0+7
Removing 0 doesn't change the value,so remove it from the expression
4x2=7
Divide both sides
44x2=47
Divide the numbers
x2=47
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±47
Simplify the expression
More Steps

Evaluate
47
To take a root of a fraction,take the root of the numerator and denominator separately
47
Simplify the radical expression
27
x=±27
Separate the equation into 2 possible cases
x=27x=−27
x=0x=27x=−27
Solution
x1=−27,x2=0,x3=27
Alternative Form
x1≈−1.322876,x2=0,x3≈1.322876
Show Solution
