(a+d)=a+2ad+b
Understand the Problem
The question appears to be an algebraic equation. The goal is likely either to simplify the equation, solve for a specific variable, or identify if it represents a known mathematical identity. Without further context, it's difficult to determine the exact purpose, but algebraic manipulation is required.
Answer
$x = \frac{94}{5}$
Answer for screen readers
$x = \frac{94}{5}$
Steps to Solve
-
Isolate the Square Root To begin solving for $x$, we need to isolate the square root term. Add 7 to both sides of the equation: $$ \sqrt{5x + 6} - 7 + 7 = 3 + 7 $$ $$ \sqrt{5x + 6} = 10 $$
-
Square Both Sides To eliminate the square root, square both sides of the equation: $$ (\sqrt{5x + 6})^2 = (10)^2 $$ $$ 5x + 6 = 100 $$
-
Isolate x term Subtract 6 from both sides of the equation: $$ 5x + 6 - 6 = 100 - 6 $$ $$ 5x = 94 $$
-
Solve for x Divide both sides by 5 to solve for $x$: $$ \frac{5x}{5} = \frac{94}{5} $$ $$ x = \frac{94}{5} $$
$x = \frac{94}{5}$
More Information
The solution to the equation $\sqrt{5x + 6} - 7 = 3$ is $x = \frac{94}{5}$ or $18.8$.
Tips
A common mistake is forgetting to square the entire right-hand side of the equation when eliminating the square root. Another frequent error is making mistakes during the arithmetic manipulations, such as adding or subtracting incorrectly. Always double-check your calculations. Also, it's crucial to check your final answer by substituting it back into the original equation to ensure it is valid.
AI-generated content may contain errors. Please verify critical information
