Question
Solve the equation
x=−57322743
Alternative Form
x≈−0.497059
Evaluate
0=−3x2×19x−7
Multiply
More Steps

Evaluate
−3x2×19x
Multiply the terms
−57x2×x
Multiply the terms with the same base by adding their exponents
−57x2+1
Add the numbers
−57x3
0=−57x3−7
Swap the sides of the equation
−57x3−7=0
Move the constant to the right-hand side and change its sign
−57x3=0+7
Removing 0 doesn't change the value,so remove it from the expression
−57x3=7
Change the signs on both sides of the equation
57x3=−7
Divide both sides
5757x3=57−7
Divide the numbers
x3=57−7
Use b−a=−ba=−ba to rewrite the fraction
x3=−577
Take the 3-th root on both sides of the equation
3x3=3−577
Calculate
x=3−577
Solution
More Steps

Evaluate
3−577
An odd root of a negative radicand is always a negative
−3577
To take a root of a fraction,take the root of the numerator and denominator separately
−35737
Multiply by the Conjugate
357×3572−37×3572
Simplify
357×3572−37×33249
Multiply the numbers
More Steps

Evaluate
−37×33249
The product of roots with the same index is equal to the root of the product
−37×3249
Calculate the product
−322743
357×3572−322743
Multiply the numbers
More Steps

Evaluate
357×3572
The product of roots with the same index is equal to the root of the product
357×572
Calculate the product
3573
Reduce the index of the radical and exponent with 3
57
57−322743
Calculate
−57322743
x=−57322743
Alternative Form
x≈−0.497059
Show Solution
