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Solve this inequality. Show your work.

7 + 2x > 42 − 3x

answer is x>7  i cant really show you how i did it

7 + 2x > 42 − 3x

then add 3 to both sides

7+2x+3x>42-3x+3x

grouplike terms

2x+3x+7+>42-3x+3x

5x+7>42

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.