4x^2-13x+8=-6x+5

Simple and best practice solution for 4x^2-13x+8=-6x+5 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 4x^2-13x+8=-6x+5 equation: 


Simplifying
4x2 + -13x + 8 = -6x + 5

Reorder the terms:
8 + -13x + 4x2 = -6x + 5

Reorder the terms:
8 + -13x + 4x2 = 5 + -6x

Solving
8 + -13x + 4x2 = 5 + -6x

Solving for variable 'x'.

Reorder the terms:
8 + -5 + -13x + 6x + 4x2 = 5 + -6x + -5 + 6x

Combine like terms: 8 + -5 = 3
3 + -13x + 6x + 4x2 = 5 + -6x + -5 + 6x

Combine like terms: -13x + 6x = -7x
3 + -7x + 4x2 = 5 + -6x + -5 + 6x

Reorder the terms:
3 + -7x + 4x2 = 5 + -5 + -6x + 6x

Combine like terms: 5 + -5 = 0
3 + -7x + 4x2 = 0 + -6x + 6x
3 + -7x + 4x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
3 + -7x + 4x2 = 0

Factor a trinomial.
(3 + -4x)(1 + -1x) = 0


Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

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 = {0.75, 1}

See similar equations:

| 2p^2/9p-9 | | Y=-0.11*9+2 | | 6x+1=9x | | x^4+8x^2-90=0 | | 6y+3=8y-2 | | (x+yi)(1+i)=8+6i | | 3*2x+1= | | x^2+10x+15=3x+5 | | Y=-0.11*-3+2 | | .75(y)+22=10 | | y^2+8y+1=0 | | x^2+16x+7=9x-3 | | -12=3x-12-3x | | 2/13z-4-8=6 | | (5t^3)/(4t^3) | | 5t^3/4t^3 | | 3x+x+2+3x+x+2= | | 25-3a=5a+10 | | 3a+x+2+3x+x+2= | | 13-(x+9)=5x-2 | | -(-79)= | | 3a-2b+8b+3a-2b+8b= | | (25)x+2=53x+4 | | x^6-16x^3+64x=0 | | a/4=11 | | -13z-0.8=-23z+1.9 | | (x-2)^2/3=3 | | 2+13=-3(4x-5) | | 3a-2b+8b+3a-2b+8a= | | (5/6x)-(1/9)=(1/2) | | 2y+6x=20 | | 7=0.2x-0.4x-3 |

Equations solver categories