Question
Solve the equation
x1≈−0.214227,x2≈12.500064
Evaluate
2(3x2×60)×2(2x2−25x)=180
Remove the parentheses
2×3x2×60×2(2x2−25x)=180
Multiply the terms
More Steps

Evaluate
2×3×60×2
Multiply the terms
6×60×2
Multiply the terms
360×2
Multiply the numbers
720
720x2(2x2−25x)=180
Expand the expression
More Steps

Evaluate
720x2(2x2−25x)
Apply the distributive property
720x2×2x2−720x2×25x
Multiply the terms
More Steps

Evaluate
720x2×2x2
Multiply the numbers
1440x2×x2
Multiply the terms
1440x4
1440x4−720x2×25x
Multiply the terms
More Steps

Evaluate
720x2×25x
Multiply the numbers
18000x2×x
Multiply the terms
18000x3
1440x4−18000x3
1440x4−18000x3=180
Move the expression to the left side
1440x4−18000x3−180=0
Factor the expression
180(8x4−100x3−1)=0
Divide both sides
8x4−100x3−1=0
Calculate
x≈12.500064x≈−0.214227
Solution
x1≈−0.214227,x2≈12.500064
Show Solution
