4x^2-23x+11=-3x+2

Simple and best practice solution for 4x^2-23x+11=-3x+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^2-23x+11=-3x+2 equation: 


Simplifying
4x2 + -23x + 11 = -3x + 2

Reorder the terms:
11 + -23x + 4x2 = -3x + 2

Reorder the terms:
11 + -23x + 4x2 = 2 + -3x

Solving
11 + -23x + 4x2 = 2 + -3x

Solving for variable 'x'.

Reorder the terms:
11 + -2 + -23x + 3x + 4x2 = 2 + -3x + -2 + 3x

Combine like terms: 11 + -2 = 9
9 + -23x + 3x + 4x2 = 2 + -3x + -2 + 3x

Combine like terms: -23x + 3x = -20x
9 + -20x + 4x2 = 2 + -3x + -2 + 3x

Reorder the terms:
9 + -20x + 4x2 = 2 + -2 + -3x + 3x

Combine like terms: 2 + -2 = 0
9 + -20x + 4x2 = 0 + -3x + 3x
9 + -20x + 4x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
9 + -20x + 4x2 = 0

Factor a trinomial.
(1 + -2x)(9 + -2x) = 0


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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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

Simplifying
9 + -2x = 0

Solving
9 + -2x = 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 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {0.5, 4.5}

See similar equations:

| 2(t+2)-3t=-1 | | -6=6u+2(u-7) | | -30=5v+5(v+6) | | 81+3*x=96 | | -5w+7(w-2)=-28 | | (14*X-12)+6=36 | | 3x+1=12x-46 | | 8x^2+13x+5= | | 36x-18= | | 12x-11=15x-80 | | -9x(9-7)+(6-9)=-7x(-9-5)-(5-2) | | 5x+26=23+x | | -5.3(35+5)-1.9(25-6)= | | 26x+13= | | 5-x/6=-7 | | 4x-2x=x | | 6x^3-10x^2=4x | | X^3+8x^2+8x=0 | | 4x-2(x-1)=10x | | 4+X*13=82 | | 9+19x-7=4x+104-2x | | 17-17y=15x-10y+25 | | 4x-2x-2=10x | | 3x+129=12x-6 | | 17x-17y=15x-10y+25 | | t=1.7086 | | 6x+21+x=14 | | 8x-152=3x-12 | | 2w^2+8w+8=0 | | 4x^2-25x+27=-8x+9 | | 6s+12s=36 | | 13-9x=21-16x |

Equations solver categories