4x^2-17x+11=-9x+8

Simple and best practice solution for 4x^2-17x+11=-9x+8 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^2-17x+11=-9x+8 equation: 


Simplifying
4x2 + -17x + 11 = -9x + 8

Reorder the terms:
11 + -17x + 4x2 = -9x + 8

Reorder the terms:
11 + -17x + 4x2 = 8 + -9x

Solving
11 + -17x + 4x2 = 8 + -9x

Solving for variable 'x'.

Reorder the terms:
11 + -8 + -17x + 9x + 4x2 = 8 + -9x + -8 + 9x

Combine like terms: 11 + -8 = 3
3 + -17x + 9x + 4x2 = 8 + -9x + -8 + 9x

Combine like terms: -17x + 9x = -8x
3 + -8x + 4x2 = 8 + -9x + -8 + 9x

Reorder the terms:
3 + -8x + 4x2 = 8 + -8 + -9x + 9x

Combine like terms: 8 + -8 = 0
3 + -8x + 4x2 = 0 + -9x + 9x
3 + -8x + 4x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
3 + -8x + 4x2 = 0

Factor a trinomial.
(1 + -2x)(3 + -2x) = 0


Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0.5, 1.5}

See similar equations:

| -(-3+5x)-(-x+1)=0 | | 9=a(-4-(-2))(-4-(-2))+1 | | ln(2x)=2ln(6x) | | 9x^3+3=0 | | -36x-6x-3= | | 6+3(x+1)= | | b^2+3b+40=0Factor | | b^2+3b+40=0 | | 4(n+3)=4n+12 | | X-3(2x-1)=14 | | 32sinx-1.5cosx=20 | | -6+y=-8-5(8-y) | | -p+27=2(-5+2p)+7 | | -9+14-15p=5-15p | | -1(-2x+4)-5x=16 | | 6-6k-2k=6-8k | | 1=a((0-55)(0-55))+36 | | 11+16u=12+16u | | 1+6z=-6+6z | | -9+7m=7m-9 | | -2x^2+26x-72=0 | | 3x-45=y-15 | | 3x+2=93 | | -2+v=v-5 | | -3-10s=-6s+1 | | 12+7y=9(3+10) | | 5-2(2x-3)=13 | | -6x-8+3x-4= | | (m-n)(n-m)= | | 5m-2m^2-3=0 | | x^2-87x+1512=0 | | 4(1+8r)-7r=-14+7r |

Equations solver categories