How do you solve this equation by factoring? 112x^2- 252= 0
- print Print
- list Cite
Expert Answers
marilynn07
| Certified Educator
calendarEducator since 2009
write469 answers
starTop subjects are Literature, History, and Science
112x^2- 252= 0
Reorder the terms
-252+112x^2 = 0
Move all terms to the right of the equals sign that do not contain a variable
-252+112x^2 = 0
+252 +252
112x^2 = 252
divide each side by 112
112x^2/112 = 252/112
x^2 = 2.25
Now you can solve for x using the difference of 2 squares
(1.5+x)(-1.5+x) = 0
-1.5+x = 0 1.5+x = 0
x = 1.5 x = -1.5
(1.5, -1.5)
Related Questions
- Solve the equation x^2 - 6x + 5 = 0 use the quadratic formula and factorization.
- 2 Educator Answers
- Solve the equation : sin5x - sinx = 0Solve the equation : sin5x - sinx = 0
- 1 Educator Answer
- Solve by factoring: 3x^2 + 5x - 2 = 0.Solve by factoring. 1. x^2 + 5x + 6 = 0 2. 2x^2 - x - 3 =...
- 2 Educator Answers
- Solve the equation : 2*sin^2 x + cos x - 1 = 0
- 1 Educator Answer
- solve by factoring 4x^2-8x+4=0must show work
- 1 Educator Answer
givingiswinning | Student
112x^2- 252= 0
use the difference of 2 squares (a – b)(a + b)
28 ( 2x - 3) ( 2x + 3)
set the parentheses equal to 0
2x - 3 =0
2x = 3
x = 3/2
2x + 3 = 0
2x = -3
x = -3/2
atyourservice | Student
112x^2- 252= 0
factor out the greatest common factor which is 28
`28 (4x^2 - 9 )`
use the difference of 2 squares (a – b)(a + b)
28 ( 2x - 3) ( 2x + 3)
set the parentheses equal to 0
2x - 3 =0
2x = 3
x = 3/2 or 1.5
2x + 3 = 0
2x = -3
x = -3/2 or -1.5
Student Answers