4x^2-27x+7=-6x+2

Simple and best practice solution for 4x^2-27x+7=-6x+2 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+7=-6x+2 equation: 


Simplifying
4x2 + -27x + 7 = -6x + 2

Reorder the terms:
7 + -27x + 4x2 = -6x + 2

Reorder the terms:
7 + -27x + 4x2 = 2 + -6x

Solving
7 + -27x + 4x2 = 2 + -6x

Solving for variable 'x'.

Reorder the terms:
7 + -2 + -27x + 6x + 4x2 = 2 + -6x + -2 + 6x

Combine like terms: 7 + -2 = 5
5 + -27x + 6x + 4x2 = 2 + -6x + -2 + 6x

Combine like terms: -27x + 6x = -21x
5 + -21x + 4x2 = 2 + -6x + -2 + 6x

Reorder the terms:
5 + -21x + 4x2 = 2 + -2 + -6x + 6x

Combine like terms: 2 + -2 = 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:

| 13=4x-10 | | (2x-2)+(7y+1)=145 | | 25x-6-13x+3=25x-7-13x+14 | | 23p+398=p | | 7n+3=15n+9 | | 3.9q-5.9-3.2q=-0.3q-5.7 | | 3x-9y=21 | | -2+k=5 | | 6(4x+5)-x=4-3x | | 4x+15-6x=17-16x+14x-2 | | 5a+9=9 | | (7p-1)(49p^2+7p+1)= | | 4x+8=2(x-6) | | y+6=1.7(x+4) | | 36+6v=-6(8-8v) | | 6y=9x | | 6y-9x= | | -2x+1=5x-20 | | x^2-3x-11=-6x-1 | | -5y+2=6y+7 | | x=5-2y | | 3k+5=21-5k | | -2x+9=15 | | 42-5x=4x+16 | | 10-7x=65-42 | | 4+2y=12 | | -5(3n+5)=115 | | 5x+10=-2-7x | | 12-5a=-4(2+2a)-2a | | 2.1x-2.16=0.84-5.4x | | -5(5n+5)=115 | | (7p-1)(49p^2+7+1)= |

Equations solver categories