x^2+4x-7=-3x+1

Simple and best practice solution for x^2+4x-7=-3x+1 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-7=-3x+1 equation: 


Simplifying
x2 + 4x + -7 = -3x + 1

Reorder the terms:
-7 + 4x + x2 = -3x + 1

Reorder the terms:
-7 + 4x + x2 = 1 + -3x

Solving
-7 + 4x + x2 = 1 + -3x

Solving for variable 'x'.

Reorder the terms:
-7 + -1 + 4x + 3x + x2 = 1 + -3x + -1 + 3x

Combine like terms: -7 + -1 = -8
-8 + 4x + 3x + x2 = 1 + -3x + -1 + 3x

Combine like terms: 4x + 3x = 7x
-8 + 7x + x2 = 1 + -3x + -1 + 3x

Reorder the terms:
-8 + 7x + x2 = 1 + -1 + -3x + 3x

Combine like terms: 1 + -1 = 0
-8 + 7x + x2 = 0 + -3x + 3x
-8 + 7x + x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 7x + x2 = 0

Factor a trinomial.
(-8 + -1x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
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
Solution
x = {-8, 1}

See similar equations:

| x^2+13x+37=1 | | 3(x-5)-20=8x-10 | | 8y+4=4 | | 6(9-b)=-1 | | lnx=3.19 | | 5+ln(x+2)=4 | | ln(x)=3.19 | | -0.2(34.3+3x)=0.1x | | 7c-(-8)-2c=17 | | (5x-1)2=22 | | -5x-4.2=121 | | 15.3=67-y | | a-x=0.1 | | -5x-x=-3 | | -5x+4.2=121 | | 5(x+2)=1+5x | | -5x-4=121 | | 9+6x=-1 | | 0.02p+0.07(1500-9)=70 | | 32-5m=5 | | 2(5+3n)= | | 2(5+3n)= | | N^4+6*n^3=0 | | 5x+12=4-(3x) | | 5x+12=4-3x | | 7m+6m+5=0 | | 1x-y= | | p^2+5p+2p=0 | | x-1=7x-4 | | x-6=x-12 | | x^2+x+100=0 | | 3ax-8y+13=0 |

Equations solver categories