4x^2-11x+13=6x+9

Simple and best practice solution for 4x^2-11x+13=6x+9 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^2-11x+13=6x+9 equation: 


Simplifying
4x2 + -11x + 13 = 6x + 9

Reorder the terms:
13 + -11x + 4x2 = 6x + 9

Reorder the terms:
13 + -11x + 4x2 = 9 + 6x

Solving
13 + -11x + 4x2 = 9 + 6x

Solving for variable 'x'.

Reorder the terms:
13 + -9 + -11x + -6x + 4x2 = 9 + 6x + -9 + -6x

Combine like terms: 13 + -9 = 4
4 + -11x + -6x + 4x2 = 9 + 6x + -9 + -6x

Combine like terms: -11x + -6x = -17x
4 + -17x + 4x2 = 9 + 6x + -9 + -6x

Reorder the terms:
4 + -17x + 4x2 = 9 + -9 + 6x + -6x

Combine like terms: 9 + -9 = 0
4 + -17x + 4x2 = 0 + 6x + -6x
4 + -17x + 4x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -17x + 4x2 = 0

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


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

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

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

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

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

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 = {0.25, 4}

See similar equations:

| 3x^2+10x+8=10 | | x^2+5x-22=9x-1 | | 4y+5x=5 | | x^2-13x+43=3 | | -9+4=5 | | 6x+5y=99 | | X+(-2)=y | | 9p-7p+8q-6q= | | 9bc+10c-21c+13c= | | 3x-5=3x+9 | | (-2+a)a= | | 4(x^2-8)=82 | | 2y+(y-3)=18-2(y+3) | | f-3,1,4f(2)=30 | | 40x=100+15x | | 4x+8=2x+34 | | 8x-2+9+7x=37 | | 4y+3(y-8)=7y-2(y-10) | | N+9=5*3 | | -2a-3+a+7= | | 6x+3-2x=9+6 | | 2n(4n+2)=8n | | -3x-12=-12 | | 8v+23=3(v+1) | | 2x(4n+2)=8n | | y+0.4=0.8(y-2) | | x^2+28+196=0 | | .25(n+9)+.10(n+9)+5+.05n=3.75 | | 9x-4=9(x+7) | | 11+2y=6(y+1)+y | | (4x^3)+(3x^2)+2=0 | | 3x-7x+7=x-6+13 |

Equations solver categories