Question

Solve for x: 1 over 2 plus 4 over 2 x equals quantity x plus 4 over 10

Answer 1

\[1/2 + 4/2x = x + 4/10\]

Answer 2

The common denominator is 10x so multiply every term by 10x. That will cancel all denominators.

Answer 3

\[\frac12 + 4/2x = x + 2/10\]
Find a common denominator, 10x
\[5x/10x + 20/10x = 10x^{2}/10x + 2x/10x\]
Since it's common denominator, just solve what's in the numerator.
\[5x + 20 = 10x^2 + 2x\]
\[0 = 10x^2 - 3x - 20\]
Just solve the quadratic now to get x.

Answer 4

is it 5?

Answer 5

No.

Answer 6

-4?

Answer 7

Plug it into the quadratic formula.
\[-b ± \sqrt{b^{2} - 4ac}\over2a\]

Answer 8

Calcmathlete gave you wrong information.
\[\frac{1}{2}\times10x+\frac{4}{2x}\times10x=\frac{x+4}{10}\times10x\]

Answer 9

\[5x+20=x^2+4x\]

Answer 10

\[x^2-x-20=0\]

Answer 11

\[(x-5)(x+4)=0\]

Answer 12

\[x=5, -4\]

Answer 13

Oh. I misread the question.
She put 1/2+4/2x=x+4/10, so I thought that somethings were moved around.

Answer 14

In her first post it says quantity x+4 over 10