4x^2-9x+13=8x+9

Simple and best practice solution for 4x^2-9x+13=8x+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^2-9x+13=8x+9 equation: 


Simplifying
4x2 + -9x + 13 = 8x + 9

Reorder the terms:
13 + -9x + 4x2 = 8x + 9

Reorder the terms:
13 + -9x + 4x2 = 9 + 8x

Solving
13 + -9x + 4x2 = 9 + 8x

Solving for variable 'x'.

Reorder the terms:
13 + -9 + -9x + -8x + 4x2 = 9 + 8x + -9 + -8x

Combine like terms: 13 + -9 = 4
4 + -9x + -8x + 4x2 = 9 + 8x + -9 + -8x

Combine like terms: -9x + -8x = -17x
4 + -17x + 4x2 = 9 + 8x + -9 + -8x

Reorder the terms:
4 + -17x + 4x2 = 9 + -9 + 8x + -8x

Combine like terms: 9 + -9 = 0
4 + -17x + 4x2 = 0 + 8x + -8x
4 + -17x + 4x2 = 8x + -8x

Combine like terms: 8x + -8x = 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:

| (4a^2-7ab)*2a^3b= | | 3X+9=-4x+25 | | x+(x+200)+3(x+200)=1575 | | C=12x+25findx | | 5(x+5)=-36 | | 3(n-6)+n=4-2(n-1) | | V-9=-10 | | x+(x+200)+3(x+200)=1775 | | 5.2+0.7=2.8+2.2 | | x+(x+200)+3(x+200)= | | -16+y=2y | | 3(z-7)=12 | | 2.49+1.24b=11.17 | | 3g+5=21+g | | 4=-2x+5x+4 | | 3(5)-3x=9 | | 3(2-7)=12 | | 64-2x=75-3x | | 9x+4-5x=-18 | | 8(k-8)=8k-24 | | -18m=92 | | -k+18=15 | | 2x^2+2y^2+8x-8y-2=0 | | X+(x-1081)=213483 | | 92=-18m | | (17x-y)+(12x+4y)+90=180 | | 8x-3x-10=222 | | -1+3(a+4)=11+3a | | 2+2.4w=-10 | | 18-3.8t=7.36-1.9x | | 2(n+4)+2n=7n+29 | | 3x-38=2x+12 |

Equations solver categories