4x^2-21x+11=-8x+2

Simple and best practice solution for 4x^2-21x+11=-8x+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^2-21x+11=-8x+2 equation: 


Simplifying
4x2 + -21x + 11 = -8x + 2

Reorder the terms:
11 + -21x + 4x2 = -8x + 2

Reorder the terms:
11 + -21x + 4x2 = 2 + -8x

Solving
11 + -21x + 4x2 = 2 + -8x

Solving for variable 'x'.

Reorder the terms:
11 + -2 + -21x + 8x + 4x2 = 2 + -8x + -2 + 8x

Combine like terms: 11 + -2 = 9
9 + -21x + 8x + 4x2 = 2 + -8x + -2 + 8x

Combine like terms: -21x + 8x = -13x
9 + -13x + 4x2 = 2 + -8x + -2 + 8x

Reorder the terms:
9 + -13x + 4x2 = 2 + -2 + -8x + 8x

Combine like terms: 2 + -2 = 0
9 + -13x + 4x2 = 0 + -8x + 8x
9 + -13x + 4x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
9 + -13x + 4x2 = 0

Factor a trinomial.
(1 + -1x)(9 + -4x) = 0


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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {1, 2.25}

See similar equations:

| 16s^2+72=-81 | | 6x^2-4x+12=0 | | (y)/6 | | 0,83x+0,82=0,23x+1,52 | | y/6 | | 250(2+b)=3500 | | 6y+50=134 | | x^2-10x-41=-4x-1 | | 48=70-d | | p1/3=7 | | x-0.30=210 | | 3w+11=89 | | (x-1)3=8 | | x^2-1=4x+4 | | 10n-14=56 | | -0,07(10x-1)=0,3 | | 10-46=54 | | 0,07(10x-1)=0,3 | | 3(z-2)=4z+1 | | 46-3x=6x+18 | | -15n+11=14n-2 | | 5n^2-87n+322=7n+2 | | 5.5(5.5+x+1)=3.5(3.5+x+9) | | 2/-1 | | 4/x+3-3/x-3=7/3 | | 5x+13=71-7x | | -15n+11=-14-2 | | -29-10=7x+22 | | 0,2+0,3=1,3 | | 5.5(5.5+x+3)=3.5(3.5+x+5) | | 2x^2+18x+4=0 | | -4a^2+3a=10-5a^2 |

Equations solver categories