x^2+4x-1=7x+9

Simple and best practice solution for x^2+4x-1=7x+9 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+4x-1=7x+9 equation:


Simplifying
x2 + 4x + -1 = 7x + 9

Reorder the terms:
-1 + 4x + x2 = 7x + 9

Reorder the terms:
-1 + 4x + x2 = 9 + 7x

Solving
-1 + 4x + x2 = 9 + 7x

Solving for variable 'x'.

Reorder the terms:
-1 + -9 + 4x + -7x + x2 = 9 + 7x + -9 + -7x

Combine like terms: -1 + -9 = -10
-10 + 4x + -7x + x2 = 9 + 7x + -9 + -7x

Combine like terms: 4x + -7x = -3x
-10 + -3x + x2 = 9 + 7x + -9 + -7x

Reorder the terms:
-10 + -3x + x2 = 9 + -9 + 7x + -7x

Combine like terms: 9 + -9 = 0
-10 + -3x + x2 = 0 + 7x + -7x
-10 + -3x + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + -3x + x2 = 0

Factor a trinomial.
(-2 + -1x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-2, 5}

See similar equations:

| 4x+13=93 | | 2y^2+y-15= | | 48-4x=7x+14 | | 0.20(y-8)+0.8y=0.02y-0.3 | | 2x-8=9x+6 | | 2(3x+8)-x=7x+4 | | 260=21-v | | 2y^2+11y+14= | | 2x-y=-10x+2y | | 5x+33=15x-62 | | 3x+27=8x-7 | | 5-(3d-4)=6 | | 3n/7-1=1/8 | | 3-8c=25 | | 6x-(-6)= | | 2a/3+8/9=4 | | 12-2m=-18 | | 4x-14=-82 | | 40=50*(1-r) | | 2-6x=-4x+1 | | 8x-4=x+10 | | 2p=-256 | | 30+6x=5x | | x+439=(x-58)2 | | 2(m+4)=m+2 | | 78+r=-76 | | 151(57457+9)+9252=1 | | x=x^2-x-12 | | 6(x+3)=10 | | ln(x+2)+ln(x)=ln(x+12) | | 0.50x+0.35(50)=47.5 | | 6(x-3)=10 |

Equations solver categories