Question

5-3(2x+1)^2=-22, I don't get what to do first

Answer 1

Answer: x=1 or x= -2

Explanation:

5-3(2x+1)2=-22

Rearrange the terms

+3(2x+192=-22-5

Calculate

-3(2x+1)2=-27

Divide both sides

(2x + 112= 227

Reduce

(2x+122=9

Separate into possible cases

2x+1=190+2x+1=-19

Show more steps

x= 1 or x= -2

Answer 2

x = 1, -2

Explanation:

We can solve for x using the properties of equality, which states an equation remains true if the same thing is done to both sides.

Using PEMDAS

Many people remember the order of operations through the acronym PEMDAS, which stands for parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right).

However, when we are solving an equation by isolating a variable, we work backward. This means we should start with addition/subtraction and work until parentheses.

Remember that when a number is written next to the outside of parentheses, so the 3 in the equation is actually being multiplied.

Solving For x

The first thing we do is subtract 5 from both sides

• -3(2x + 1)² = -27

Then, divide both sides by -3

• (2x + 1)² = 9

The next step is important but often done incorrectly. We need to square root both sides (the exponent part of PEMDAS). However, when you square root a constant, you must add a plus or minus sign. This is due to the fact that both -3 and +3 squared equals 9.

• 2x + 1 = ±3

Now, let's solve for x by subtracting 1 from both sides and then dividing by 2.

• If you set the equation equal to -3, x = -2
• If you set the equation equal to +3, x = 1

Both 1 and -2 are solutions to the equation.