Question
Solve the equation(The real numbers system)
x≈0.744723
Evaluate
(x2−5x3)×2=(2x−3)×2
Multiply the terms
2(x2−5x3)=(2x−3)×2
Evaluate
2(x2−5x3)=2(2x−3)
Calculate
More Steps

Evaluate
2(x2−5x3)
Apply the distributive property
2x2−2×5x3
Multiply the numbers
2x2−10x3
2x2−10x3=2(2x−3)
Calculate
More Steps

Evaluate
2(2x−3)
Apply the distributive property
2×2x−2×3
Multiply the numbers
4x−2×3
Multiply the numbers
4x−6
2x2−10x3=4x−6
Move the expression to the left side
2x2−10x3−(4x−6)=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
2x2−10x3−4x+6=0
Factor the expression
2(x2−5x3−2x+3)=0
Divide both sides
x2−5x3−2x+3=0
Solution
x≈0.744723
Show Solution

Solve the equation(The complex numbers system)
x1≈−0.272362−0.85527i,x2≈−0.272362+0.85527i,x3≈0.744723
Evaluate
(x2−5x3)×2=(2x−3)×2
Multiply the terms
2(x2−5x3)=(2x−3)×2
Multiply the terms
2(x2−5x3)=2(2x−3)
Calculate
More Steps

Evaluate
2(x2−5x3)
Apply the distributive property
2x2−2×5x3
Multiply the numbers
2x2−10x3
2x2−10x3=2(2x−3)
Calculate
More Steps

Evaluate
2(2x−3)
Apply the distributive property
2×2x−2×3
Multiply the numbers
4x−2×3
Multiply the numbers
4x−6
2x2−10x3=4x−6
Move the expression to the left side
2x2−10x3−(4x−6)=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
2x2−10x3−4x+6=0
Factor the expression
2(x2−5x3−2x+3)=0
Divide both sides
x2−5x3−2x+3=0
Calculate
x≈0.744723x≈−0.272362+0.85527ix≈−0.272362−0.85527i
Solution
x1≈−0.272362−0.85527i,x2≈−0.272362+0.85527i,x3≈0.744723
Show Solution
