Question
Solve the equation
x=−233
Alternative Form
x≈−0.721125
Evaluate
−4x2×6x−9=0
Multiply
More Steps

Evaluate
−4x2×6x
Multiply the terms
−24x2×x
Multiply the terms with the same base by adding their exponents
−24x2+1
Add the numbers
−24x3
−24x3−9=0
Move the constant to the right-hand side and change its sign
−24x3=0+9
Removing 0 doesn't change the value,so remove it from the expression
−24x3=9
Change the signs on both sides of the equation
24x3=−9
Divide both sides
2424x3=24−9
Divide the numbers
x3=24−9
Divide the numbers
More Steps

Evaluate
24−9
Cancel out the common factor 3
8−3
Use b−a=−ba=−ba to rewrite the fraction
−83
x3=−83
Take the 3-th root on both sides of the equation
3x3=3−83
Calculate
x=3−83
Solution
More Steps

Evaluate
3−83
An odd root of a negative radicand is always a negative
−383
To take a root of a fraction,take the root of the numerator and denominator separately
−3833
Simplify the radical expression
More Steps

Evaluate
38
Write the number in exponential form with the base of 2
323
Reduce the index of the radical and exponent with 3
2
−233
x=−233
Alternative Form
x≈−0.721125
Show Solution
