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Solve the following equation for
x. Express your answer in the simplest form.

5(3x+3)=5(3x+3)

Solve the following equation for $x$ . Express your answer in the simplest form. $\newline$ $5(3 x+3)=5(3 x+3)$ $\newline$

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Find the roots of factored polynomials

Full solution

Q. Solve the following equation for

x

. Express your answer in the simplest form.

\newline

5(3 x+3)=5(3 x+3)

\newline

Simplify Equation: First, we need to simplify both sides of the equation if possible. $\newline$ $5(3x + 3) = 5(3x + 3)$ $\newline$ Since both sides of the equation are identical, they simplify to the same expression.
Distribute $5$ : We can distribute the $5$ on both sides of the equation. $\newline$ $5 \times 3x + 5 \times 3 = 5 \times 3x + 5 \times 3$ $\newline$ This simplifies to: $\newline$ $15x + 15 = 15x + 15$
Subtract $15x$ : Next, we subtract $15x$ from both sides of the equation to try to isolate $x$ .
$15x + 15 - 15x = 15x + 15 - 15x$
This simplifies to:
$15 = 15$
Verify Identity: We notice that the variable $x$ has been eliminated, and we are left with a statement that $15$ equals $15$ , which is always true. $\newline$ This means that the equation is an identity and is true for all values of $x$ .
Infinite Solutions: Since the equation is true for all values of $x$ , there is no single solution for $x$ . Instead, $x$ can be any real number.

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