Sure, let's solve the equation [tex]\( 5x^2 = 0 \)[/tex] step by step.
1. Understand the equation: We need to solve for the variable [tex]\( x \)[/tex] in the equation [tex]\( 5x^2 = 0 \)[/tex].
2. Isolate the variable: Start by isolating [tex]\( x^2 \)[/tex]. To do this, divide both sides of the equation by 5:
[tex]\[
\frac{5x^2}{5} = \frac{0}{5}
\][/tex]
3. Simplify:
[tex]\[
x^2 = 0
\][/tex]
4. Solve for [tex]\( x \)[/tex]: To find [tex]\( x \)[/tex], take the square root of both sides of the equation:
[tex]\[
x = \sqrt{0}
\][/tex]
5. Simplify the result:
[tex]\[
\sqrt{0} = 0
\][/tex]
Therefore, the solution to the equation [tex]\( 5x^2 = 0 \)[/tex] is [tex]\( x = 0 \)[/tex].
