Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation (-5*x-3)*(2*x-1)=0
-
Equation x^2-8x+15=0
-
Equation x^2+x-4=0
-
Equation x^2=-2
- Express {x} in terms of y where:
- 7*x+13*y=-13
- 7*x+19*y=12
- -11*x-14*y=-3
- 10*x-18*y=-11
-
Identical expressions
- x- two + three (x- three)= three (four -x)- three
- x minus 2 plus 3(x minus 3) equally 3(4 minus x) minus 3
- x minus two plus three (x minus three) equally three (four minus x) minus three
- x-2+3x-3=34-x-3
-
Similar expressions
- -x-2+3*(x-3)=2*(4-x)-7
- x-2-3(x-3)=3(4-x)-3
- x+2+3(x-3)=3(4-x)-3
- 1/(x-1)+3/(x-2)+3(x-3)+1/(x-4)=0
- x-2+3(x-3)=3(4-x)+3
- 3*x^(-2)+3*x^(-3)+3*x^(-4)=2+2*x^-1
- x-2+3(x+3)=3(4-x)-3
- x-2+3(x-3)=3(4+x)-3
x-2+3(x-3)=3(4-x)-3 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
x - 2 + 3*(x - 3) = 3*(4 - x) - 3
$$3 \left(x - 3\right) + \left(x - 2\right) = 3 \left(4 - x\right) - 3$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Looking for similar summands in the left part:
Looking for similar summands in the right part:
Move free summands (without x)
from left part to right part, we given:
$$4 x = 20 - 3 x$$
Move the summands with the unknown x
from the right part to the left part:
$$7 x = 20$$
Divide both parts of the equation by 7
We get the answer: x = 20/7
x-2+3*(x-3) = 3*(4-x)-3
Expand brackets in the left part
x-2+3*x-3*3 = 3*(4-x)-3
Expand brackets in the right part
x-2+3*x-3*3 = 3*4-3*x-3
Looking for similar summands in the left part:
-11 + 4*x = 3*4-3*x-3
Looking for similar summands in the right part:
-11 + 4*x = 9 - 3*x
Move free summands (without x)
from left part to right part, we given:
$$4 x = 20 - 3 x$$
Move the summands with the unknown x
from the right part to the left part:
$$7 x = 20$$
Divide both parts of the equation by 7
x = 20 / (7)
We get the answer: x = 20/7
Sum and product of roots
[src]
sum
20/7
$$\frac{20}{7}$$
=
20/7
$$\frac{20}{7}$$
product
20/7
$$\frac{20}{7}$$
=
20/7
$$\frac{20}{7}$$
20/7