6x^2-2x=5x^2-5x+28

Simple and best practice solution for 6x^2-2x=5x^2-5x+28 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 6x^2-2x=5x^2-5x+28 equation: 


Simplifying
6x2 + -2x = 5x2 + -5x + 28

Reorder the terms:
-2x + 6x2 = 5x2 + -5x + 28

Reorder the terms:
-2x + 6x2 = 28 + -5x + 5x2

Solving
-2x + 6x2 = 28 + -5x + 5x2

Solving for variable 'x'.

Reorder the terms:
-28 + -2x + 5x + 6x2 + -5x2 = 28 + -5x + 5x2 + -28 + 5x + -5x2

Combine like terms: -2x + 5x = 3x
-28 + 3x + 6x2 + -5x2 = 28 + -5x + 5x2 + -28 + 5x + -5x2

Combine like terms: 6x2 + -5x2 = 1x2
-28 + 3x + 1x2 = 28 + -5x + 5x2 + -28 + 5x + -5x2

Reorder the terms:
-28 + 3x + 1x2 = 28 + -28 + -5x + 5x + 5x2 + -5x2

Combine like terms: 28 + -28 = 0
-28 + 3x + 1x2 = 0 + -5x + 5x + 5x2 + -5x2
-28 + 3x + 1x2 = -5x + 5x + 5x2 + -5x2

Combine like terms: -5x + 5x = 0
-28 + 3x + 1x2 = 0 + 5x2 + -5x2
-28 + 3x + 1x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 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:

| -9x+5y=-19 | | x/3-x/4-1/6-=7/3 | | 3x-25=78 | | 27x-4=12x+6 | | 6x^2-2x=5x+28 | | (5x+3z)+9z= | | n/3=25 | | 36=x+3y | | 5x-4xy=-3 | | 72x+8g+48= | | 10x+8y=-4 | | x-2.25=8-3/4 | | -30x^2+48x-20x+32=0 | | -.2d-.3d+5d=-14.5-2 | | K^(1/6)÷k^(-5/6) | | K^2-18k+45=0 | | 4+4x(3-1)=y | | 16u+20v= | | d+5+3e+d-7-(-e)= | | x=0.03 | | -8p-3q+p-2q+7= | | 3sin(4x+5)= | | 3v^2-13v-4=6 | | 3xsquared+21x=x | | 2.6/2.08 | | 5f-(5d-f)f=0 | | -14=4(u-2)-7u | | B^2+4b+8=4 | | 3(v+3)-6v=33 | | 16t^2+60t-40=0 | | 3(x-7)-7x=15 | | B=4(25)-9square |

Equations solver categories