Question
Solve the equation
Solve for x
x1=−773344621×7733445,x2=0,x3=773344621×7733445
Alternative Form
x1≈−0.17337,x2=0,x3≈0.17337
Evaluate
3(x×7)=4x2×13x×143x2×13x2×8
Remove the parentheses
3x×7=4x2×13x×143x2×13x2×8
Multiply the terms
21x=4x2×13x×143x2×13x2×8
Multiply
More Steps

Evaluate
4x2×13x×143x2×13x2×8
Multiply the terms
More Steps

Evaluate
4×13×143×13×8
Multiply the terms
52×143×13×8
Multiply the terms
7436×13×8
Multiply the terms
96668×8
Multiply the numbers
773344
773344x2×x×x2×x2
Multiply the terms with the same base by adding their exponents
773344x2+1+2+2
Add the numbers
773344x7
21x=773344x7
Add or subtract both sides
21x−773344x7=0
Factor the expression
x(21−773344x6)=0
Separate the equation into 2 possible cases
x=021−773344x6=0
Solve the equation
More Steps

Evaluate
21−773344x6=0
Move the constant to the right-hand side and change its sign
−773344x6=0−21
Removing 0 doesn't change the value,so remove it from the expression
−773344x6=−21
Change the signs on both sides of the equation
773344x6=21
Divide both sides
773344773344x6=77334421
Divide the numbers
x6=77334421
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±677334421
Simplify the expression
More Steps

Evaluate
677334421
To take a root of a fraction,take the root of the numerator and denominator separately
6773344621
Multiply by the Conjugate
6773344×67733445621×67733445
The product of roots with the same index is equal to the root of the product
6773344×67733445621×7733445
Multiply the numbers
773344621×7733445
x=±773344621×7733445
Separate the equation into 2 possible cases
x=773344621×7733445x=−773344621×7733445
x=0x=773344621×7733445x=−773344621×7733445
Solution
x1=−773344621×7733445,x2=0,x3=773344621×7733445
Alternative Form
x1≈−0.17337,x2=0,x3≈0.17337
Show Solution
