+0

+3
55
2
+233

Solve this equation

2x-7x+5

ManuelBautista2019  Nov 27, 2017
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#1
+1

Solve for x:
2 x^2 - 7 x + 5 = 0

The left hand side factors into a product with two terms:
(x - 1) (2 x - 5) = 0

Split into two equations:
x - 1 = 0 or 2 x - 5 = 0

x = 1 or 2 x - 5 = 0

x = 1 or 2 x = 5

Divide both sides by 2:
x = 1                     or                 x = 5/2

Guest Nov 27, 2017
#2
+79881
+3

2x^2 -7x + 5  = 0

We can rewrite this as

2x^2 - 2x  - 5x  +  5  = 0      factor as

2x ( x  - 1)  -  5 ( x - 1)  = 0        the common factor is ( x - 1)...so.....

(x - 1) ( 2x  -  5)   = 0

Set each factor to 0  and solve for x    and we have that

x  - 1   = 0                                              2x   - 5   = 0

x = 1                                                       2x   = 5

divide both sides by 2

x  = 5/2

CPhill  Nov 27, 2017

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