To solve the equation [tex]\( 3x + 34x - 40x = 0 \)[/tex], we need to simplify and isolate the variable [tex]\( x \)[/tex]. Here are the steps:
1. Combine like terms on the left side of the equation:
[tex]\[
3x + 34x - 40x
\][/tex]
2. Add and subtract the coefficients of [tex]\( x \)[/tex]:
[tex]\[
(3 + 34 - 40)x = 0
\][/tex]
3. Simplify the coefficients:
[tex]\[
(37 - 40)x = 0
\][/tex]
4. Perform the subtraction:
[tex]\[
-3x = 0
\][/tex]
5. Now, isolate [tex]\( x \)[/tex] by dividing both sides of the equation by [tex]\(-3\)[/tex]:
[tex]\[
x = \frac{0}{-3}
\][/tex]
6. Simplify the fraction:
[tex]\[
x = 0
\][/tex]
Therefore, the solution to the equation [tex]\( 3x + 34x - 40x = 0 \)[/tex] is:
[tex]\[
x = 0
\][/tex]
