4x^2-7x+11=6x+2

Simple and best practice solution for 4x^2-7x+11=6x+2 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^2-7x+11=6x+2 equation: 


Simplifying
4x2 + -7x + 11 = 6x + 2

Reorder the terms:
11 + -7x + 4x2 = 6x + 2

Reorder the terms:
11 + -7x + 4x2 = 2 + 6x

Solving
11 + -7x + 4x2 = 2 + 6x

Solving for variable 'x'.

Reorder the terms:
11 + -2 + -7x + -6x + 4x2 = 2 + 6x + -2 + -6x

Combine like terms: 11 + -2 = 9
9 + -7x + -6x + 4x2 = 2 + 6x + -2 + -6x

Combine like terms: -7x + -6x = -13x
9 + -13x + 4x2 = 2 + 6x + -2 + -6x

Reorder the terms:
9 + -13x + 4x2 = 2 + -2 + 6x + -6x

Combine like terms: 2 + -2 = 0
9 + -13x + 4x2 = 0 + 6x + -6x
9 + -13x + 4x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -13x + 4x2 = 0

Factor a trinomial.
(1 + -1x)(9 + -4x) = 0


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {1, 2.25}

See similar equations:

| x+2/1/2x+20=41 | | 5x-9=(x-3) | | y=1/2(2+3) | | 6s-3t-4s+3t=39-29 | | 4x-2(4x+17)=14 | | 5x+24=3x+78 | | 74-2x=60 | | 3a+3=-15 | | y=1/2.2+3 | | x^2+5x-1=9x-4 | | 5x-3x+7=3x-1 | | 4x+74=7x-7 | | 8(w-2)+4=6w-12 | | .90x+0.05(8+-1x)=0.10(-115) | | y=1/22+3 | | 34-2r=-4r-2(4r+8) | | 2a-6=30 | | -7u+3(u-6)=14 | | 0.90x+0.058(8-x)=0.10(-115) | | 19-x-x=-33 | | ((4x-3)/2)-((5-2x)/3)-((3x-4)/3)=5 | | 3+4n=5-6n | | 3x-8=57 | | -10+0.25x= | | 1/4x+8=7 | | a-3(2a+5)=13 | | 4500/7800+20x=6400/10500+28x | | 12x+11/2-11x=19/14 | | 50+60h=395 | | 5.2q-4.6-7.1q=-.9-4.6 | | 33-(2x+4)=2(x+7)+x | | 13-(3x+2)=2x+4+2x |

Equations solver categories