4x^2-28x=-2x^2-5x-15

Simple and best practice solution for 4x^2-28x=-2x^2-5x-15 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 4x^2-28x=-2x^2-5x-15 equation: 


Simplifying
4x2 + -28x = -2x2 + -5x + -15

Reorder the terms:
-28x + 4x2 = -2x2 + -5x + -15

Reorder the terms:
-28x + 4x2 = -15 + -5x + -2x2

Solving
-28x + 4x2 = -15 + -5x + -2x2

Solving for variable 'x'.

Reorder the terms:
15 + -28x + 5x + 4x2 + 2x2 = -15 + -5x + -2x2 + 15 + 5x + 2x2

Combine like terms: -28x + 5x = -23x
15 + -23x + 4x2 + 2x2 = -15 + -5x + -2x2 + 15 + 5x + 2x2

Combine like terms: 4x2 + 2x2 = 6x2
15 + -23x + 6x2 = -15 + -5x + -2x2 + 15 + 5x + 2x2

Reorder the terms:
15 + -23x + 6x2 = -15 + 15 + -5x + 5x + -2x2 + 2x2

Combine like terms: -15 + 15 = 0
15 + -23x + 6x2 = 0 + -5x + 5x + -2x2 + 2x2
15 + -23x + 6x2 = -5x + 5x + -2x2 + 2x2

Combine like terms: -5x + 5x = 0
15 + -23x + 6x2 = 0 + -2x2 + 2x2
15 + -23x + 6x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
15 + -23x + 6x2 = 0

Factor a trinomial.
(5 + -6x)(3 + -1x) = 0


Subproblem 1
Set the factor '(5 + -6x)' equal to zero and attempt to solve:

Simplifying
5 + -6x = 0

Solving
5 + -6x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 0 + -5
-6x = 0 + -5

Combine like terms: 0 + -5 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0.8333333333, 3}

See similar equations:

| -7(x+2)-44=6-15 | | 3(x-2)+4=1+4x | | 20=9t-19t | | 7(x-1)=2x+5 | | 4z=16-44 | | 7x^3+6x^2-16x=0 | | 100=20q-2q^2 | | 5x/6=3x/8+10 | | 2x+2=48 | | -6-3=5y+10 | | 4+3d=25-4d | | 8h-3=10h-9 | | x^2-2x^2-5x+14=0 | | 10x-89=4x-5 | | 5c+4=2c+10 | | 96-3x=24x+21 | | 4y-14=3y | | 9-8x=29-22x | | 6+3n=21 | | y=-1/3x | | -8=6-7t | | x^2+y^2-2x+10y-48=0 | | 4x+v=x+w | | 5+140x=11-10x | | 70-3x=6x+22 | | logx-log(x+6)=-1 | | -3/2(y-8)-1/4y | | 3log(4x-4)+8=20 | | 4x^2-2x-14=0 | | 4y=25 | | t+15=t(t-1) | | -5m+2=12 |

Equations solver categories