4x^2-7x+13=6x+4

Simple and best practice solution for 4x^2-7x+13=6x+4 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^2-7x+13=6x+4 equation: 


Simplifying
4x2 + -7x + 13 = 6x + 4

Reorder the terms:
13 + -7x + 4x2 = 6x + 4

Reorder the terms:
13 + -7x + 4x2 = 4 + 6x

Solving
13 + -7x + 4x2 = 4 + 6x

Solving for variable 'x'.

Reorder the terms:
13 + -4 + -7x + -6x + 4x2 = 4 + 6x + -4 + -6x

Combine like terms: 13 + -4 = 9
9 + -7x + -6x + 4x2 = 4 + 6x + -4 + -6x

Combine like terms: -7x + -6x = -13x
9 + -13x + 4x2 = 4 + 6x + -4 + -6x

Reorder the terms:
9 + -13x + 4x2 = 4 + -4 + 6x + -6x

Combine like terms: 4 + -4 = 0
9 + -13x + 4x2 = 0 + 6x + -6x
9 + -13x + 4x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -13x + 4x2 = 0

Factor a trinomial.
(1 + -1x)(9 + -4x) = 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 '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {1, 2.25}

See similar equations:

| x^2+10x+22=1 | | 3x-2x-4=5 | | 6+7q=55 | | 3x=4.25 | | 9(3b-8)= | | -4x-(-1)=9 | | 75-3p=q | | 81x-x^5= | | 2(x-6)=4-3x | | 2b+3b-1=8b-13 | | 28+6s=40 | | 24-4p=8q | | 3x^4-5x^3-12x^2= | | 100=39y+16x | | 7-8x-5-7x=5 | | 28-6(w+3)=16+3(2w-12) | | 19y-3(4-3y)=2(9+7y)+19 | | 6s-4(1-3s)=5(s+3) | | 19*6=x | | 15-(a-2)=2(a+1) | | 11=5x-6 | | 3x^2+x=27 | | 3w-6+w=12 | | 4(4x+1)=2x-7x | | 18-6y+7=4y-25 | | 39+12q+65=8+4q | | 3x-14+2x=-14+5x | | 8-5u=8u-31 | | 4(3x+1)=5x-7x | | 22d+42=17d+27 | | 7p+23=p+65 | | 5(4x+1)=5x-7 |

Equations solver categories