4x^2+6x-11=24-17x

Simple and best practice solution for 4x^2+6x-11=24-17x 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+6x-11=24-17x equation: 


Simplifying
4x2 + 6x + -11 = 24 + -17x

Reorder the terms:
-11 + 6x + 4x2 = 24 + -17x

Solving
-11 + 6x + 4x2 = 24 + -17x

Solving for variable 'x'.

Reorder the terms:
-11 + -24 + 6x + 17x + 4x2 = 24 + -17x + -24 + 17x

Combine like terms: -11 + -24 = -35
-35 + 6x + 17x + 4x2 = 24 + -17x + -24 + 17x

Combine like terms: 6x + 17x = 23x
-35 + 23x + 4x2 = 24 + -17x + -24 + 17x

Reorder the terms:
-35 + 23x + 4x2 = 24 + -24 + -17x + 17x

Combine like terms: 24 + -24 = 0
-35 + 23x + 4x2 = 0 + -17x + 17x
-35 + 23x + 4x2 = -17x + 17x

Combine like terms: -17x + 17x = 0
-35 + 23x + 4x2 = 0

Factor a trinomial.
(-7 + -1x)(5 + -4x) = 0


Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-7, 1.25}

See similar equations:

| 7x^2+3x-13=59-52x | | 0=7n-0.5n^2 | | 7x+2=2(3x+1)-x+5 | | 3sinx+4cosy=8 | | 8a+9b=4 | | 2(2x+1)+5=5x+3 | | 9u^4-52u^2+64=0 | | 2x^2+4x-240=0 | | 4logX+6=3 | | 4(4x+1)+4=17x+4 | | 9y^2-15y=0 | | -8(x+6)-3=-15x+7(x+6) | | x^2+7x+10=315 | | 10*3*x^2-7*3-12= | | 3(3x+1)=14x+1-5x+2 | | 9ex=18 | | 15/2=x/8 | | 10*3x^2-7*3-12= | | 25/6=400/x | | 2(3x+1)+5=7x+3 | | 10*6-7*3-12= | | 10000/25= | | 25*500= | | -21r^4s^3-27r^2s^4+24rs^5= | | 1-x/5=4 | | X+10=1.10 | | X-1/33 | | 245s^2-320=0 | | (5x+6)(x+1)=-(11x+2) | | 63=-3x+9 | | 4e^3x-2=8 | | 3(2y-4)=-18 |

Equations solver categories