Вопрос
Solve the equation
x=−2310
Alternative Form
x≈−1.077217
Evaluate
0=−x2×4x−5
Multiply
Больше Шагов
Evaluate
−x2×4x
Multiply the terms with the same base by adding their exponents
−x2+1×4
Add the numbers
−x3×4
Use the commutative property to reorder the terms
−4x3
0=−4x3−5
Swap the sides of the equation
−4x3−5=0
Move the constant to the right-hand side and change its sign
−4x3=0+5
Removing 0 doesn't change the value,so remove it from the expression
−4x3=5
Change the signs on both sides of the equation
4x3=−5
Divide both sides
44x3=4−5
Divide the numbers
x3=4−5
Use b−a=−ba=−ba to rewrite the fraction
x3=−45
Take the 3-th root on both sides of the equation
3x3=3−45
Calculate
x=3−45
Решение
Больше Шагов
Evaluate
3−45
An odd root of a negative radicand is always a negative
−345
To take a root of a fraction,take the root of the numerator and denominator separately
−3435
Rewrite the expression
34−35
Multiply by the Conjugate
34×342−35×342
Simplify
34×342−35×232
Multiply the numbers
Больше Шагов
Evaluate
−35×232
Multiply the terms
−310×2
Use the commutative property to reorder the terms
−2310
34×342−2310
Multiply the numbers
Больше Шагов
Evaluate
34×342
The product of roots with the same index is equal to the root of the product
34×42
Calculate the product
343
Transform the expression
326
Reduce the index of the radical and exponent with 3
22
22−2310
Reduce the fraction
Больше Шагов
Evaluate
22−2
Use the product rule aman=an−m to simplify the expression
22−1−1
Subtract the terms
21−1
Simplify
2−1
2−310
Calculate
−2310
x=−2310
Alternative Form
x≈−1.077217
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