Mister Exam

Other calculators

(4p-2)(3p-1)-3(3-p)-12p^2=21 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     
(4*p - 2)*(3*p - 1) - 3*(3 - p) - 12*p  = 21
$$- 12 p^{2} + \left(- 3 \left(3 - p\right) + \left(3 p - 1\right) \left(4 p - 2\right)\right) = 21$$
Detail solution
Given the equation:
(4*p-2)*(3*p-1)-3*(3-p)-12*p^2 = 21

Expand expressions:
- 7 - 7*p + 12*p^2 - 12*p^2 = 21

Reducing, you get:
-28 - 7*p = 0

Move free summands (without p)
from left part to right part, we given:
$$- 7 p = 28$$
Divide both parts of the equation by -7
p = 28 / (-7)

We get the answer: p = -4
The graph
Rapid solution [src]
p1 = -4
$$p_{1} = -4$$
p1 = -4
Sum and product of roots [src]
sum
-4
$$-4$$
=
-4
$$-4$$
product
-4
$$-4$$
=
-4
$$-4$$
-4
Numerical answer [src]
p1 = -4.0
p1 = -4.0