4x^2-27x+41=-3x+6

Simple and best practice solution for 4x^2-27x+41=-3x+6 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+41=-3x+6 equation: 


Simplifying
4x2 + -27x + 41 = -3x + 6

Reorder the terms:
41 + -27x + 4x2 = -3x + 6

Reorder the terms:
41 + -27x + 4x2 = 6 + -3x

Solving
41 + -27x + 4x2 = 6 + -3x

Solving for variable 'x'.

Reorder the terms:
41 + -6 + -27x + 3x + 4x2 = 6 + -3x + -6 + 3x

Combine like terms: 41 + -6 = 35
35 + -27x + 3x + 4x2 = 6 + -3x + -6 + 3x

Combine like terms: -27x + 3x = -24x
35 + -24x + 4x2 = 6 + -3x + -6 + 3x

Reorder the terms:
35 + -24x + 4x2 = 6 + -6 + -3x + 3x

Combine like terms: 6 + -6 = 0
35 + -24x + 4x2 = 0 + -3x + 3x
35 + -24x + 4x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
35 + -24x + 4x2 = 0

Factor a trinomial.
(5 + -2x)(7 + -2x) = 0


Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {2.5, 3.5}

See similar equations:

| 3x^2-24x+69=0 | | 2x^2+10x+1=17 | | n(n+2)=-192 | | E=7(3-x)+(x+4)(x-5) | | 2y+3x-4=0 | | 3x+2y-5z=0 | | b-(c+v)=u | | 27x-45=4x+20-12 | | x-(c+u)=y | | 2(3x-5)=2x+10 | | (0.4)x-(0.33)x=4 | | 7x=2x+35 | | 4m+2(m+3)=18 | | 3x-4=3x-94 | | 5x+3-3x=11 | | y^3-17y^2+72y=0 | | (4v+5)(4v-5)= | | 11x+9-4x=58 | | 12x+4=12x-15 | | 3y+4y-7=38-2y | | 30-a+125+2a=180 | | 12a^2-8a-7= | | -5r+8r+7=37 | | x^3+3x^2-81x+77=0 | | 12y-3-4y=21 | | 3x+5+2x=15 | | 145=(2x+10)+(4x-3) | | x+x+8=30 | | (p+10)(p-2)=(p+4)(p+4)-36 | | 133=(7x+4)(3x+9) | | 7-10x=172-45x | | 133=10x+5 |

Equations solver categories