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- Equation:
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Equation x^2-8*x-9=0
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Equation 3*x^2-2=5*x
- Equation -x+y-1=0
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Equation 13-6(5x-2)=4
- Express {x} in terms of y where:
- -14*x-10*y=16
- -20*x+2*y=-12
- 1*x-7*y=20
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Identical expressions
- 20x- ten = twelve (1 six x+6)-10x
- 20x minus 10 equally 12(16x plus 6) minus 10x
- 20x minus ten equally twelve (1 six x plus 6) minus 10x
- 20x-10=1216x+6-10x
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Similar expressions
- 20x-10=12(16x-6)-10x
- 8*x^2+20*x-100=0
- 20x+10=12(16x+6)-10x
- 20x-10=12(16x+6)+10x
- 3.05x^2+20*x-1000=0
20x-10=12(16x+6)-10x equation
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The solution
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[src]
20*x - 10 = 12*(16*x + 6) - 10*x
$$20 x - 10 = - 10 x + 12 \left(16 x + 6\right)$$
Detail solution
Given the linear equation:
Expand brackets in the right part
Looking for similar summands in the right part:
Move free summands (without x)
from left part to right part, we given:
$$20 x = 182 x + 82$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-162\right) x = 82$$
Divide both parts of the equation by -162
We get the answer: x = -41/81
20*x-10 = 12*(16*x+6)-10*x
Expand brackets in the right part
20*x-10 = 12*16*x+12*6-10*x
Looking for similar summands in the right part:
-10 + 20*x = 72 + 182*x
Move free summands (without x)
from left part to right part, we given:
$$20 x = 182 x + 82$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-162\right) x = 82$$
Divide both parts of the equation by -162
x = 82 / (-162)
We get the answer: x = -41/81
Sum and product of roots
[src]
sum
-41 ---- 81
$$- \frac{41}{81}$$
=
-41 ---- 81
$$- \frac{41}{81}$$
product
-41 ---- 81
$$- \frac{41}{81}$$
=
-41 ---- 81
$$- \frac{41}{81}$$
-41/81