5x^2-6x+1=-5x+7

Simple and best practice solution for 5x^2-6x+1=-5x+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 5x^2-6x+1=-5x+7 equation: 


Simplifying
5x2 + -6x + 1 = -5x + 7

Reorder the terms:
1 + -6x + 5x2 = -5x + 7

Reorder the terms:
1 + -6x + 5x2 = 7 + -5x

Solving
1 + -6x + 5x2 = 7 + -5x

Solving for variable 'x'.

Reorder the terms:
1 + -7 + -6x + 5x + 5x2 = 7 + -5x + -7 + 5x

Combine like terms: 1 + -7 = -6
-6 + -6x + 5x + 5x2 = 7 + -5x + -7 + 5x

Combine like terms: -6x + 5x = -1x
-6 + -1x + 5x2 = 7 + -5x + -7 + 5x

Reorder the terms:
-6 + -1x + 5x2 = 7 + -7 + -5x + 5x

Combine like terms: 7 + -7 = 0
-6 + -1x + 5x2 = 0 + -5x + 5x
-6 + -1x + 5x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + -1x + 5x2 = 0

Factor a trinomial.
(-1 + -1x)(6 + -5x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {-1, 1.2}

See similar equations:

| -7-8=10x+2-9x | | tan^2x-3tanx-2=0 | | -42=7(1-7x) | | 6-4(x+3)=9x+7-5x | | 3x+3=100-4x | | 7x+8x-96=120-9x | | 4x+7+2x=2(3x-3) | | -3y-19=-1 | | -8q+1+3q=10-6q | | 4m+5=2-9 | | 4z+3x= | | 0.55+0.27t=2.34t-0.83 | | F=amforM | | 629.35=41(x+2.35) | | 4(y+14)-8=72 | | 5x^2-13x-9=-5x-5 | | 6n+21=87 | | Solvex^2+13x+40=0byfactoring | | 4p-9=8(4p+9) | | 9-2k=6-5k | | 9y-1=98 | | .12(x+300)=4200 | | -3x+7(x-5)=5x+38 | | Solvex^2+13x+40=0 | | 0.5=3h | | x^2+11x-3=9x | | -4x+1=-44 | | 3(4x+2)=11(x-3) | | 67-(4x+11)=4(x+5)+x | | 4p-9=8(4p-9) | | -4(3-4k)=7k+24 | | 2x=.75 |

Equations solver categories