Solve for X with Steps

Which is a correct way to solve the equation

cosx(2cosx − 3) = 0?

• divide cos x from both sides

• set each factor equal to 0 and solve

• distribute cosx into the parentheses

• guess and hope for the best

Choose a good way to start solving this equation

tanx sin²x = 2 tanx

• divide tanx from both sides

• factor out tanx

• subtract 2 tanx from the left and then factor tanx out

• cancel sin²x out

To solve the equation sec²x − secx = 2

• start by subtracting 2 from both sides and then factor

• add sec x to both sides and factor

• factor out secx and set each factor equal to 2

• sec x is never bigger than 1, so there are no solutions

So tanx sin²x = 2 tanx is equivalent to tanx(sin²x − 2) = 0

Then tanx = 0 or sin²x − 2 = 0, now what?

• solutions come only from tanx = 0,

• solutions come only from sin²x − 2 = 0

• solutions come from where sin x is undefined

• solutions come from where tan x is undefined

Solve the equation: 
x + 7 = 12

• x = 5

• x = 19

• x = 4

• x = 84

Solve the equation:
x/3 = 4

• x = 12

• x = 1

• x = 16

• x = 3

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by 5

• Subtract 6 from both sides then divide both sides by 5

Solve.  -3x - 12 = 15

• 9

• -1

• 27

• -9

Put the steps for solving by SUBSTITUTION in order:

• Solve one equation for x or y

• Plug the resulting expression into the other equation

• Solve for the first variable

• Plug that number into the other equation

• Solve for the second variable