(3x^2-28)=(2x^2-3x)

Simple and best practice solution for (3x^2-28)=(2x^2-3x) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (3x^2-28)=(2x^2-3x) equation: 


Simplifying
(3x2 + -28) = (2x2 + -3x)

Reorder the terms:
(-28 + 3x2) = (2x2 + -3x)

Remove parenthesis around (-28 + 3x2)
-28 + 3x2 = (2x2 + -3x)

Reorder the terms:
-28 + 3x2 = (-3x + 2x2)

Remove parenthesis around (-3x + 2x2)
-28 + 3x2 = -3x + 2x2

Solving
-28 + 3x2 = -3x + 2x2

Solving for variable 'x'.

Reorder the terms:
-28 + 3x + 3x2 + -2x2 = -3x + 2x2 + 3x + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
-28 + 3x + 1x2 = -3x + 2x2 + 3x + -2x2

Reorder the terms:
-28 + 3x + 1x2 = -3x + 3x + 2x2 + -2x2

Combine like terms: -3x + 3x = 0
-28 + 3x + 1x2 = 0 + 2x2 + -2x2
-28 + 3x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-28 + 3x + 1x2 = 0

Factor a trinomial.
(-7 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-7, 4}

See similar equations:

| 0.30x+0.10(90)=0.15(122) | | 6(5+6m)+16=-90 | | r^2-10r-400=0 | | 4-2=62 | | m(5)=m+36 | | 5(4)-7(3)= | | 3+3.2x=9.5+2.7x | | 0.2(7x+21)=1.4(x+3) | | 4x-5=x+25 | | 10x-65=5x-5 | | 3p-2=(-29) | | (m+1)x^2-mx-1=0 | | -7=p+3 | | 20=2m-16 | | 20-2m=14 | | Isx=2y^2+3 | | 4w=398 | | 10x+90=2 | | 9-m= | | 3(12-2)=30+12-2-12+3 | | n-11=81 | | 11r^2-110r-4400=0 | | 720=1000(0.09)(t) | | 5(x+11)=120 | | 6x=3x-5-4 | | 8(4x+1)=4x-7x | | (8x-16)-(12-4x)=0 | | 6n+(n+6)-2=20 | | 3(0)+2=0-2 | | 3x=4x-6+5 | | 4w=123 | | 5(3x+4)+-2x=7x+-3(-2x+11) |

Equations solver categories