4x^2-27x+13=-6x+8

Simple and best practice solution for 4x^2-27x+13=-6x+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^2-27x+13=-6x+8 equation: 


Simplifying
4x2 + -27x + 13 = -6x + 8

Reorder the terms:
13 + -27x + 4x2 = -6x + 8

Reorder the terms:
13 + -27x + 4x2 = 8 + -6x

Solving
13 + -27x + 4x2 = 8 + -6x

Solving for variable 'x'.

Reorder the terms:
13 + -8 + -27x + 6x + 4x2 = 8 + -6x + -8 + 6x

Combine like terms: 13 + -8 = 5
5 + -27x + 6x + 4x2 = 8 + -6x + -8 + 6x

Combine like terms: -27x + 6x = -21x
5 + -21x + 4x2 = 8 + -6x + -8 + 6x

Reorder the terms:
5 + -21x + 4x2 = 8 + -8 + -6x + 6x

Combine like terms: 8 + -8 = 0
5 + -21x + 4x2 = 0 + -6x + 6x
5 + -21x + 4x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
5 + -21x + 4x2 = 0

Factor a trinomial.
(1 + -4x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {0.25, 5}

See similar equations:

| f=2/3 | | 32x^2+28x-60=0 | | f=1/d | | 5x+5=8-7x | | 1.25x^4-x^3-7x^2=0 | | M(m+n)+n(2m+3n)= | | (x+18)(x)=(3) | | 1.25x^2-8x=0 | | 211-5x=40x+16 | | 3x=7-2x+8 | | (3)(x)=(x+18) | | 6x-9=9x-10 | | 5x-3-2x=-30 | | (6)(x+2)=(8x+2) | | 4x=13-2x-10 | | 50/3x=2/9 | | m(n+n)+n(2m+3n)= | | x^2-x+7=9x-2 | | 3x-18=7-2x | | 3x-5-2x= | | 4x/3+2x=20 | | 8/5x=0.16 | | 8/5x=0.15 | | 13-3x=10-x | | x^2+2x+4=7 | | 6-4x=30+2x | | 1/5(4x-9)=7 | | (8x+2)(6)=(x+2) | | 3418.5+1615.7+737.4+409.5+97+97+97+97+97+97+l=1.95l | | 1615.7+737.4+409.5+97+97+97+97+97+l=1.95l | | -8x+9=-3x+34 | | 737.4+409.5+97+97+97+97+l=1.95l |

Equations solver categories