Mister Exam

Other calculators

12-(3x²+5x)+(-8x+3x²)=0 equation

The teacher will be very surprised to see your correct solution 😉

v

Numerical solution:

Do search numerical solution at [, ]

The solution

You have entered [src]
          2                   2    
12 + - 3*x  - 5*x + -8*x + 3*x  = 0
$$\left(3 x^{2} - 8 x\right) + \left(\left(- 3 x^{2} - 5 x\right) + 12\right) = 0$$
Detail solution
Given the linear equation:
12-(3*x^2+5*x)+(-8*x+3*x^2) = 0

Expand brackets in the left part
12-3*x-2-5*x+-8*x+3*x+2 = 0

Looking for similar summands in the left part:
12 - 13*x = 0

Move free summands (without x)
from left part to right part, we given:
$$- 13 x = -12$$
Divide both parts of the equation by -13
x = -12 / (-13)

We get the answer: x = 12/13
The graph
Sum and product of roots [src]
sum
12
--
13
$$\frac{12}{13}$$
=
12
--
13
$$\frac{12}{13}$$
product
12
--
13
$$\frac{12}{13}$$
=
12
--
13
$$\frac{12}{13}$$
12/13
Rapid solution [src]
     12
x1 = --
     13
$$x_{1} = \frac{12}{13}$$
x1 = 12/13
Numerical answer [src]
x1 = 0.923076923076923
x1 = 0.923076923076923