x^2+5x-7=7x+1

Simple and best practice solution for x^2+5x-7=7x+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+5x-7=7x+1 equation: 


Simplifying
x2 + 5x + -7 = 7x + 1

Reorder the terms:
-7 + 5x + x2 = 7x + 1

Reorder the terms:
-7 + 5x + x2 = 1 + 7x

Solving
-7 + 5x + x2 = 1 + 7x

Solving for variable 'x'.

Reorder the terms:
-7 + -1 + 5x + -7x + x2 = 1 + 7x + -1 + -7x

Combine like terms: -7 + -1 = -8
-8 + 5x + -7x + x2 = 1 + 7x + -1 + -7x

Combine like terms: 5x + -7x = -2x
-8 + -2x + x2 = 1 + 7x + -1 + -7x

Reorder the terms:
-8 + -2x + x2 = 1 + -1 + 7x + -7x

Combine like terms: 1 + -1 = 0
-8 + -2x + x2 = 0 + 7x + -7x
-8 + -2x + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + -2x + x2 = 0

Factor a trinomial.
(-2 + -1x)(4 + -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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-2, 4}

See similar equations:

| 2.1=1.5y | | x^2+4x-8=5x-2 | | 5x=5+4x | | 21ab^2-15ab=0 | | -5(2t+2)=-60 | | 5x+9y-2= | | 2x+15=43-5c | | 4x^2-7x+6=2x+1 | | 8u=u+70 | | 14=8x-1 | | 4x^2+px+9=0 | | 6(2l+2)=120 | | 3y(y-2)=y(2y-6)+16 | | 5j+4=10+2j | | 2z+4=6z-14 | | x^2+4x=x(x+2)+10 | | y+18=2y | | 5(x+3)+2= | | 56b-2=-17 | | cosx=10 | | 15y+y=60 | | 38=6t-10 | | 6-1=3 | | ab-5a+3b-15=0 | | -2x+8=-6(x+12) | | 3a+15=48 | | 5+4x+35+2x+15=180 | | Y+5-3y=5y-9 | | -14y+12=21 | | f(0.5)=8 | | 6j-15=4j-7 | | 3x,=96 |

Equations solver categories