Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

(4x+3)^(2)=24

$(4 x+3)^{2}=24$

View step-by-step help

View step-by-step help

Solve two-step equations with parentheses

Full solution

Q.

(4 x+3)^{2}=24

Write Equation: First, let's write down the equation we need to solve. $\newline$ $(4x+3)^{2}=24$
Take Square Root: Now, we need to get rid of the square by taking the square root of both sides. $\newline$ $\sqrt{(4x+3)^{2}} = \sqrt{24}$
Simplify Square Root: After taking the square root, we have: $4x+3 = \pm\sqrt{24}$
Subtract $3$ : Let's simplify $\sqrt{24}$ to make it easier. $\newline$ $\sqrt{24} = \sqrt{(4\cdot6)} = \sqrt{4} \cdot \sqrt{6} = 2\sqrt{6}$ $\newline$ So, $4x+3 = \pm2\sqrt{6}$
Divide by $4$ : Now, we'll solve for $x$ by subtracting $3$ from both sides. $4x = \pm 2\sqrt{6} - 3$
Divide by $4$ : Now, we'll solve for $x$ by subtracting $3$ from both sides. $4x = \pm 2\sqrt{6} - 3$ Next, we divide both sides by $4$ to isolate $x$ . $x = \frac{\pm 2\sqrt{6} - 3}{4}$

More problems from Solve two-step equations with parentheses

Question

Write the sentence as an equation.

\newline

138

is equal to the quotient of

w

30

\newline

/

) if you want to use a division sign.

\newline

Posted 3 months ago

Question

\newline

(\frac{2}{7})x= -14

\newline

x =

Posted 4 months ago

Question

(\frac{8}{5})x= 32

Posted 4 months ago

Question

\newline

2+2

\newline

Posted 4 days ago

Question

-27x+18y=54

Posted 4 months ago

Question

\newline

48.5-0.434=

Posted 4 months ago

Question

\newline

96.7-0.163=

Posted 4 months ago

Question

\newline

4.43-0.283=

Posted 4 months ago

Question

\newline

3.05-0.338=

Posted 4 months ago

Question

\newline

6.168-0.432=

Posted 4 months ago