Question
Solve the equation
x=−123207
Alternative Form
x≈−0.492957
Evaluate
19−2x×7x2×96=180
Multiply
More Steps

Evaluate
2x×7x2×96
Multiply the terms
More Steps

Evaluate
2×7×96
Multiply the terms
14×96
Multiply the numbers
1344
1344x×x2
Multiply the terms with the same base by adding their exponents
1344x1+2
Add the numbers
1344x3
19−1344x3=180
Move the constant to the right-hand side and change its sign
−1344x3=180−19
Subtract the numbers
−1344x3=161
Change the signs on both sides of the equation
1344x3=−161
Divide both sides
13441344x3=1344−161
Divide the numbers
x3=1344−161
Divide the numbers
More Steps

Evaluate
1344−161
Cancel out the common factor 7
192−23
Use b−a=−ba=−ba to rewrite the fraction
−19223
x3=−19223
Take the 3-th root on both sides of the equation
3x3=3−19223
Calculate
x=3−19223
Solution
More Steps

Evaluate
3−19223
An odd root of a negative radicand is always a negative
−319223
To take a root of a fraction,take the root of the numerator and denominator separately
−3192323
Simplify the radical expression
More Steps

Evaluate
3192
Write the expression as a product where the root of one of the factors can be evaluated
364×3
Write the number in exponential form with the base of 4
343×3
The root of a product is equal to the product of the roots of each factor
343×33
Reduce the index of the radical and exponent with 3
433
−433323
Multiply by the Conjugate
433×332−323×332
Simplify
433×332−323×39
Multiply the numbers
More Steps

Evaluate
−323×39
The product of roots with the same index is equal to the root of the product
−323×9
Calculate the product
−3207
433×332−3207
Multiply the numbers
More Steps

Evaluate
433×332
Multiply the terms
4×3
Multiply the terms
12
12−3207
Calculate
−123207
x=−123207
Alternative Form
x≈−0.492957
Show Solution
