x^2-3x-11=4x+7

Simple and best practice solution for x^2-3x-11=4x+7 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 x^2-3x-11=4x+7 equation: 


Simplifying
x2 + -3x + -11 = 4x + 7

Reorder the terms:
-11 + -3x + x2 = 4x + 7

Reorder the terms:
-11 + -3x + x2 = 7 + 4x

Solving
-11 + -3x + x2 = 7 + 4x

Solving for variable 'x'.

Reorder the terms:
-11 + -7 + -3x + -4x + x2 = 7 + 4x + -7 + -4x

Combine like terms: -11 + -7 = -18
-18 + -3x + -4x + x2 = 7 + 4x + -7 + -4x

Combine like terms: -3x + -4x = -7x
-18 + -7x + x2 = 7 + 4x + -7 + -4x

Reorder the terms:
-18 + -7x + x2 = 7 + -7 + 4x + -4x

Combine like terms: 7 + -7 = 0
-18 + -7x + x2 = 0 + 4x + -4x
-18 + -7x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-18 + -7x + x2 = 0

Factor a trinomial.
(-2 + -1x)(9 + -1x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

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

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 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 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-2, 9}

See similar equations:

| 3x(-1)=12 | | 28+7x=9 | | 35=2x+5 | | 4y-13=y+1 | | 7x+27+9x-5=180 | | 4y-13=y-1 | | -11p^2=-44 | | z/n=-8-(-6) | | 144=12y | | -9x-17=39 | | 3(4y+7)=81 | | 5a^2=45 | | 15-x=3x-5 | | 3/4*x=24 | | x/13=60/65 | | 4x+4y=25 | | 4a-2=1 | | -2(x+1)-x= | | x=37/28 | | 15x+16x-15=0 | | 3(9a+8b+7)+4(5a+9)= | | (B+25)(b+9)=0 | | B-3=3b-12 | | V+17-11=16 | | 1/2(x-20)=2 | | s^2+s+2=0 | | b/14-10=-6 | | -a-b-x-y-2= | | 4(y-3)+8x=2(z-4)+2 | | 12x^2+46x=8 | | 2a-3b-x+2y= | | 4(x-4)+x=12 |

Equations solver categories