28x+45= 98
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Answers
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
49*x^2-(45-28*x)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
72x2 - (45 - 28x) = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 49x2+28x-45
The first term is, 49x2 its coefficient is 49 .
The middle term is, +28x its coefficient is 28 .
The last term, "the constant", is -45
Step-1 : Multiply the coefficient of the first term by the constant 49 • -45 = -2205
Step-2 : Find two factors of -2205 whose sum equals the coefficient of the middle term, which is 28 .
-2205 + 1 = -2204
-735 + 3 = -732
-441 + 5 = -436
-315 + 7 = -308
-245 + 9 = -236
-147 + 15 = -132
-105 + 21 = -84
-63 + 35 = -28
-49 + 45 = -4
-45 + 49 = 4
-35 + 63 = 28 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -35 and 63
49x2 - 35x + 63x - 45
Step-4 : Add up the first 2 terms, pulling out like factors :
7x • (7x-5)
Add up the last 2 terms, pulling out common factors :
9 • (7x-5)
Step-5 : Add up the four terms of step 4 :
(7x+9) • (7x-5)
Which is the desired factorization
Equation at the end of step
2
:
(7x - 5) • (7x + 9) = 0
Answer:
28x=98-45
28x=53
X=53/28 (or)
1.89285714285714