4x^2-5x+11=7x+6

Simple and best practice solution for 4x^2-5x+11=7x+6 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^2-5x+11=7x+6 equation: 


Simplifying
4x2 + -5x + 11 = 7x + 6

Reorder the terms:
11 + -5x + 4x2 = 7x + 6

Reorder the terms:
11 + -5x + 4x2 = 6 + 7x

Solving
11 + -5x + 4x2 = 6 + 7x

Solving for variable 'x'.

Reorder the terms:
11 + -6 + -5x + -7x + 4x2 = 6 + 7x + -6 + -7x

Combine like terms: 11 + -6 = 5
5 + -5x + -7x + 4x2 = 6 + 7x + -6 + -7x

Combine like terms: -5x + -7x = -12x
5 + -12x + 4x2 = 6 + 7x + -6 + -7x

Reorder the terms:
5 + -12x + 4x2 = 6 + -6 + 7x + -7x

Combine like terms: 6 + -6 = 0
5 + -12x + 4x2 = 0 + 7x + -7x
5 + -12x + 4x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
5 + -12x + 4x2 = 0

Factor a trinomial.
(1 + -2x)(5 + -2x) = 0


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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {0.5, 2.5}

See similar equations:

| -(4y-8)+10= | | 9u=5u^2-2 | | 57x-95y=0 | | -11(a-9)-2=-5a+55 | | x-x*x*x=0.5 | | 3(x+4)=8x-6 | | x^2+8x-11=6x-3 | | 3x+56=12x+8(x-10) | | x^2-11x+35=7 | | x-x+y-2y= | | 216x^2=6 | | s^2-36=0 | | r=8(6.6)+10 | | r=8(-1)+10 | | r=8(2)+10 | | 2r=8r+10 | | 0.25(12d-12)+3d=9 | | 2=8r+10 | | 5-9x=149-37x | | -4+9-1= | | 3k+8k-7=7k+9 | | (x+4)(x+1)=54 | | 750=(X)(X-5) | | 12x^3+84x^2+120x=0 | | 5(f-3)=6f+7 | | 2x+11=-89-8x | | 3v^2=-11v-10 | | -3c+10=c+2-6c | | 17-0.4(q-10)=0.6(5q-10) | | -8-5x=710x | | -4+2x+1=3(x-1) | | 8x^2-4y=4 |

Equations solver categories