Simplify the expression
Simplify the expression
Find the excluded values
Simplify
 
Simplify
Find the excluded values
Solution
7x−10xthe fraction with numerator 7 x minus 10 and denominator x end-fraction
7𝑥−10𝑥
 
Step
3⋅xx−10x+43 center dot x over x end-fraction minus 10 over x end-fraction plus 4
3⋅𝑥𝑥−10𝑥+4
 
3⋅xx−10x+43 center dot modified x over x end-fraction with boxed outline minus 10 over x end-fraction plus 4
3⋅𝑥𝑥−10𝑥+4
Any expression divided by itself equals 11
1
3⋅1−10x+43 center dot modified 1 with boxed outline minus 10 over x end-fraction plus 4
3⋅1−10𝑥+4
Step
3⋅1−10x+43 center dot 1 minus 10 over x end-fraction plus 4
3⋅1−10𝑥+4
 
3⋅1−10x+43 modified center dot 1 with boxed outline minus 10 over x end-fraction plus 4
3⋅1−10𝑥+4
Any expression multiplied by 11
1
remains the same
3−10x+43 minus 10 over x end-fraction plus 4
3−10𝑥+4
Step
3−10x+43 minus 10 over x end-fraction plus 4
3−10𝑥+4
 
3−10x+4modified 3 minus 10 over x end-fraction plus 4 with boxed outline
3−10𝑥+4
Add the numbers
7−10xmodified 7 with boxed outline minus 10 over x end-fraction
7−10𝑥
Step
7−10x7 minus 10 over x end-fraction
7−10𝑥
 
7−10xmodified 7 minus 10 over x end-fraction with boxed outline
7−10𝑥
Write all numerators above the common denominator
7x−10xmodified the fraction with numerator 7 x minus 10 and denominator x end-fraction with boxed outline
7𝑥−10𝑥
Solution
7x−10xthe fraction with numerator 7 x minus 10 and denominator x end-fraction
7𝑥−10𝑥
Solution
x=0x equals 0
𝑥=0
 
Step
3⋅xx−10x+43 center dot x over x end-fraction minus 10 over x end-fraction plus 4
3⋅𝑥𝑥−10𝑥+4
 
3⋅xx−10x+4modified 3 center dot x over x end-fraction minus 10 over x end-fraction plus 4 with boxed outline
3⋅𝑥𝑥−10𝑥+4
To find the excluded values, set the denominators equal to 00
0
 
Step
x=0x=02 lines; Line 1: x equals 0; Line 2: x equals 0 end-lines;
𝑥=0𝑥=0
 
x=0x=02 lines; Line 1: x equals 0; Line 2: modified x equals 0 with boxed outline end-lines;
𝑥=0𝑥=0
The excluded value of the initial expression is 00
0
x=0x equals 0
𝑥=0
Solution
x=0x equals 0
𝑥=0