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How to use it?
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Equation (x-11)/(x-6)=11/16
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Equation cos(4*x)=0
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Equation 3/4x=12
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Equation 3x^2-5x=0
- Express {x} in terms of y where:
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Identical expressions
- (8x+ twelve): twelve -(three x+ six): twelve =3
- (8x plus 12):12 minus (3x plus 6):12 equally 3
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- 8x+12:12-3x+6:12=3
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Similar expressions
- (8x+12):12+(3x+6):12=3
- (8x-12):12-(3x+6):12=3
- (8x+12):12-(3x-6):12=3
(8x+12):12-(3x+6):12=3 equation
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The solution
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[src]
8*x + 12 3*x + 6 -------- - ------- = 3 12 12
$$- \frac{3 x + 6}{12} + \frac{8 x + 12}{12} = 3$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Looking for similar summands in the left part:
Move free summands (without x)
from left part to right part, we given:
$$\frac{5 x}{12} = \frac{5}{2}$$
Divide both parts of the equation by 5/12
We get the answer: x = 6
(8*x+12)/12-(3*x+6)/12 = 3
Expand brackets in the left part
8*x/12+12/12-3*x/12-6/12 = 3
Looking for similar summands in the left part:
1/2 + 5*x/12 = 3
Move free summands (without x)
from left part to right part, we given:
$$\frac{5 x}{12} = \frac{5}{2}$$
Divide both parts of the equation by 5/12
x = 5/2 / (5/12)
We get the answer: x = 6
Sum and product of roots
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sum
6
$$\left(6\right)$$
=
6
$$6$$
product
6
$$\left(6\right)$$
=
6
$$6$$
The graph