Mister Exam

Other calculators


(2x+7)^2=(2x-1)^2

(2x+7)^2=(2x-1)^2 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
(2*x + 7)  = (2*x - 1) 
$$\left(2 x + 7\right)^{2} = \left(2 x - 1\right)^{2}$$
Detail solution
Given the equation:
(2*x+7)^2 = (2*x-1)^2

Expand expressions:
49 + 4*x^2 + 28*x = (2*x-1)^2

(2*x+7)^2 = 1 - 4*x + 4*x^2

Reducing, you get:
48 + 32*x = 0

Move free summands (without x)
from left part to right part, we given:
$$32 x = -48$$
Divide both parts of the equation by 32
x = -48 / (32)

We get the answer: x = -3/2
The graph
Rapid solution [src]
x1 = -3/2
$$x_{1} = - \frac{3}{2}$$
x1 = -3/2
Sum and product of roots [src]
sum
-3/2
$$- \frac{3}{2}$$
=
-3/2
$$- \frac{3}{2}$$
product
-3/2
$$- \frac{3}{2}$$
=
-3/2
$$- \frac{3}{2}$$
-3/2
Numerical answer [src]
x1 = -1.5
x1 = -1.5
The graph
(2x+7)^2=(2x-1)^2 equation