Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation sin(x)=4
-
Equation 5^x=125
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Equation (|x+4|)=5
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Equation 2*sin(x)=1
- Express {x} in terms of y where:
- 16*x-17*y=-15
- -4*x-4*y=19
- 15*x+1*y=19
- -5*x-2*y=9
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Identical expressions
- three (2x- four)= twenty-four -(5x+ nine)
- 3(2x minus 4) equally 24 minus (5x plus 9)
- three (2x minus four) equally twenty minus four minus (5x plus nine)
- 32x-4=24-5x+9
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Similar expressions
- 32x-4x^2=0
- 32*x-43+x=23
- log_3^2(x)-4log(3,x)-3=0
- 3(2x-4)=24-(5x-9)
- 3^2^x-4*3^x+3=0
- 3(2x+4)=24-(5x+9)
- 3(2x-4)=24+(5x+9)
3(2x-4)=24-(5x+9) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
3*(2*x - 4) = 24 + -5*x - 9
$$3 \left(2 x - 4\right) = \left(- 5 x - 9\right) + 24$$
Detail solution
Given the linear equation:
Expand brackets in the left part
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:
$$6 x = 27 - 5 x$$
Move the summands with the unknown x
from the right part to the left part:
$$11 x = 27$$
Divide both parts of the equation by 11
We get the answer: x = 27/11
3*(2*x-4) = 24-(5*x+9)
Expand brackets in the left part
3*2*x-3*4 = 24-(5*x+9)
Expand brackets in the right part
3*2*x-3*4 = 24-5*x-9
Looking for similar summands in the right part:
-12 + 6*x = 15 - 5*x
Move free summands (without x)
from left part to right part, we given:
$$6 x = 27 - 5 x$$
Move the summands with the unknown x
from the right part to the left part:
$$11 x = 27$$
Divide both parts of the equation by 11
x = 27 / (11)
We get the answer: x = 27/11
Sum and product of roots
[src]
sum
27 -- 11
$$\frac{27}{11}$$
=
27 -- 11
$$\frac{27}{11}$$
product
27 -- 11
$$\frac{27}{11}$$
=
27 -- 11
$$\frac{27}{11}$$
27/11