Question
Solve the equation(The real numbers system)
x1≈1.326702,x2≈2.633313
Evaluate
(2x−5)x3=2x2−9
Evaluate
x3(2x−5)=2x2−9
Move the expression to the left side
x3(2x−5)−(2x2−9)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x3(2x−5)−2x2+9=0
Calculate
More Steps

Evaluate
x3(2x−5)
Apply the distributive property
x3×2x−x3×5
Multiply the terms
More Steps

Evaluate
x3×2x
Use the commutative property to reorder the terms
2x3×x
Multiply the terms
2x4
2x4−x3×5
Use the commutative property to reorder the terms
2x4−5x3
2x4−5x3−2x2+9=0
Solution
x1≈1.326702,x2≈2.633313
Show Solution

Solve the equation(The complex numbers system)
x1≈−0.730008−0.868994i,x2≈−0.730008+0.868994i,x3≈1.326702,x4≈2.633313
Evaluate
(2x−5)x3=2x2−9
Multiply the terms
x3(2x−5)=2x2−9
Move the expression to the left side
x3(2x−5)−(2x2−9)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x3(2x−5)−2x2+9=0
Calculate
More Steps

Evaluate
x3(2x−5)
Apply the distributive property
x3×2x−x3×5
Multiply the terms
More Steps

Evaluate
x3×2x
Use the commutative property to reorder the terms
2x3×x
Multiply the terms
2x4
2x4−x3×5
Use the commutative property to reorder the terms
2x4−5x3
2x4−5x3−2x2+9=0
Calculate
x≈2.633313x≈1.326702x≈−0.730008+0.868994ix≈−0.730008−0.868994i
Solution
x1≈−0.730008−0.868994i,x2≈−0.730008+0.868994i,x3≈1.326702,x4≈2.633313
Show Solution
