4x^2+5x-13=27-22x

Simple and best practice solution for 4x^2+5x-13=27-22x 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+5x-13=27-22x equation: 


Simplifying
4x2 + 5x + -13 = 27 + -22x

Reorder the terms:
-13 + 5x + 4x2 = 27 + -22x

Solving
-13 + 5x + 4x2 = 27 + -22x

Solving for variable 'x'.

Reorder the terms:
-13 + -27 + 5x + 22x + 4x2 = 27 + -22x + -27 + 22x

Combine like terms: -13 + -27 = -40
-40 + 5x + 22x + 4x2 = 27 + -22x + -27 + 22x

Combine like terms: 5x + 22x = 27x
-40 + 27x + 4x2 = 27 + -22x + -27 + 22x

Reorder the terms:
-40 + 27x + 4x2 = 27 + -27 + -22x + 22x

Combine like terms: 27 + -27 = 0
-40 + 27x + 4x2 = 0 + -22x + 22x
-40 + 27x + 4x2 = -22x + 22x

Combine like terms: -22x + 22x = 0
-40 + 27x + 4x2 = 0

Factor a trinomial.
(-8 + -1x)(5 + -4x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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 = {-8, 1.25}

See similar equations:

| 3x+7=6x-5 | | x^4+64x^3=0 | | 5x-7=12x-7 | | 7(z+1)-(4+9z)=-3z | | x+6-4=9 | | 4.8x+0.2=6.6 | | 4z+10-2z=7+z-10 | | 8.2-0.8d+2.5-1.1d=11-1.9d-6.6 | | 19x+4=-6 | | 6(n-3)-(5-2n)=7n | | 3y/4-2=4 | | 14+5v+v-10=9v+14-3v-10 | | 13x-9+3x-3=12x-4+3x | | x-23=-13 | | x^15-y^18= | | 3x/7-x/2=20 | | 4(x+2)-8x-5=-3x+9+2(1-15x) | | 1+6x+7x=-51 | | 80x^4y+84x^3y^2-20x^2y^3= | | 2l+2w=218 | | x-7-8=-10 | | 3x-1=-9 | | 1x+2=-7 | | f(3)=2-4 | | 3x=8+2x | | 11-1-10x=10 | | 6j^3-125= | | 2x^3-9x-35=0 | | x-3=-x^2 | | 50=8+a-2 | | 0.02(6+-3)=0.04(t-2)-0.02 | | 5x(2-3x)(-6+4x)=0 |

Equations solver categories