Mister Exam

Other calculators

(15-2x^2-4x)-(7x-2x^2)=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    
15 - 2*x  - 4*x + -7*x + 2*x  = 0
$$\left(- 4 x + \left(15 - 2 x^{2}\right)\right) + \left(2 x^{2} - 7 x\right) = 0$$
Detail solution
Given the linear equation:
(15-2*x^2-4*x)-(7*x-2*x^2) = 0

Expand brackets in the left part
15-2*x+2-4*x-7*x+2*x-2 = 0

Looking for similar summands in the left part:
15 - 11*x = 0

Move free summands (without x)
from left part to right part, we given:
$$- 11 x = -15$$
Divide both parts of the equation by -11
x = -15 / (-11)

We get the answer: x = 15/11
The graph
Sum and product of roots [src]
sum
15
--
11
$$\frac{15}{11}$$
=
15
--
11
$$\frac{15}{11}$$
product
15
--
11
$$\frac{15}{11}$$
=
15
--
11
$$\frac{15}{11}$$
15/11
Rapid solution [src]
     15
x1 = --
     11
$$x_{1} = \frac{15}{11}$$
x1 = 15/11
Numerical answer [src]
x1 = 1.36363636363636
x1 = 1.36363636363636