Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^2-7*x+10=0
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Equation 5x^2-8x+3=0
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Equation e^x+1=0
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Equation 3/5*y=29/10-1/5
- Express {x} in terms of y where:
- -16*x-10*y=4
- 12*x-20*y=9
- -3*x-10*y=1
- 7*x-19*y=17
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Identical expressions
- three (4x- eight)=3x- six (x- two)
- 3(4x minus 8) equally 3x minus 6(x minus 2)
- three (4x minus eight) equally 3x minus six (x minus two)
- 34x-8=3x-6x-2
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Similar expressions
- 0,00191*x^2+23,534*x-86469,089=0
- 3(4x-8)=3x+6(x-2)
- 3*(4*x-8)=3*x-6
- 3(4x-8)=3x-6(x+2)
- 3(4x+8)=3x-6(x-2)
- 4,905*x^2+8,34*x-81,9=0
3(4x-8)=3x-6(x-2) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
3*(4*x - 8) = 3*x - 6*(x - 2)
$$3 \left(4 x - 8\right) = 3 x - 6 \left(x - 2\right)$$
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:
$$12 x = 36 - 3 x$$
Move the summands with the unknown x
from the right part to the left part:
$$15 x = 36$$
Divide both parts of the equation by 15
We get the answer: x = 12/5
3*(4*x-8) = 3*x-6*(x-2)
Expand brackets in the left part
3*4*x-3*8 = 3*x-6*(x-2)
Expand brackets in the right part
3*4*x-3*8 = 3*x-6*x+6*2
Looking for similar summands in the right part:
-24 + 12*x = 12 - 3*x
Move free summands (without x)
from left part to right part, we given:
$$12 x = 36 - 3 x$$
Move the summands with the unknown x
from the right part to the left part:
$$15 x = 36$$
Divide both parts of the equation by 15
x = 36 / (15)
We get the answer: x = 12/5
Sum and product of roots
[src]
sum
12/5
$$\frac{12}{5}$$
=
12/5
$$\frac{12}{5}$$
product
12/5
$$\frac{12}{5}$$
=
12/5
$$\frac{12}{5}$$
12/5