Question

4x+8x−6=1 What is the solution to the equation above? Answer Choices x=−23 x=−25 x=−143 x=23

Answer 1

Divide each term by 66 and simplify.
|6−4x|=4x3+23|6-4x|=4x3+23Remove the absolute value term. This creates a ±± on the right side of the equation because |x|=±x|x|=±x.6−4x=±4x3+236-4x=±4x3+23Set up the positive portion of the ±± solution.6−4x=4x3+236-4x=4x3+23Solve the first equation for xx..x=1x=1Set up the negative portion of the ±± solution.6−4x=−(4x3+23)6-4x=-(4x3+23)Move xx to the right side of the equation by subtracting xx from both sides of the equation.−8x3=−203-8x3=-203Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.(−8x)⋅(3)=(3)⋅(−20)(-8x)⋅(3)=(3)⋅(-20)Solve the equation for xx..x=52x=52The solution to the equation includes both the positive and negative portions of the solution.x=1,52