4x^2-15x+28=6x+8

Simple and best practice solution for 4x^2-15x+28=6x+8 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^2-15x+28=6x+8 equation: 


Simplifying
4x2 + -15x + 28 = 6x + 8

Reorder the terms:
28 + -15x + 4x2 = 6x + 8

Reorder the terms:
28 + -15x + 4x2 = 8 + 6x

Solving
28 + -15x + 4x2 = 8 + 6x

Solving for variable 'x'.

Reorder the terms:
28 + -8 + -15x + -6x + 4x2 = 8 + 6x + -8 + -6x

Combine like terms: 28 + -8 = 20
20 + -15x + -6x + 4x2 = 8 + 6x + -8 + -6x

Combine like terms: -15x + -6x = -21x
20 + -21x + 4x2 = 8 + 6x + -8 + -6x

Reorder the terms:
20 + -21x + 4x2 = 8 + -8 + 6x + -6x

Combine like terms: 8 + -8 = 0
20 + -21x + 4x2 = 0 + 6x + -6x
20 + -21x + 4x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -21x + 4x2 = 0

Factor a trinomial.
(5 + -4x)(4 + -1x) = 0


Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

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 = {1.25, 4}

See similar equations:

| 1.8+4569x=4812 | | 2x+30=3x+24 | | 2.4=0.2 | | 3(2x-6)=30 | | 5-3x=-10x | | -92=1-(1+6r) | | 2x+3+10x-1+4x+2=180 | | 8a+16=40 | | 7=x/5+1 | | (7*-4)-(5*-3)=9 | | 0.12(y-7)+0.18y=0.16-2.1 | | -2x+3y-5x= | | 3x^2-5x+54=0 | | 8n=-3m+1n | | 5(7*3+7)+15= | | 7f-7=49 | | .05-.5x=-.7-.8x | | 18p^3+3p^2-42p-7=0 | | 2+3(y-2)=2(y-6) | | (x+6)(x-3)=(2x+1)(x-3) | | xy=8-2x | | 6=-4x+18 | | 3x^3-4x^2=x | | (7*2)-(5*-1)=9 | | -2+3x=-6 | | 24+6x=12 | | -73=7a | | 5w+(-7c)=9 | | 3x^2-4x+8=9 | | 36*26= | | 3h+24=21 | | H=-9.8t^2+3.2 |

Equations solver categories