4x^2-11x+8=2x+5

Simple and best practice solution for 4x^2-11x+8=2x+5 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^2-11x+8=2x+5 equation: 


Simplifying
4x2 + -11x + 8 = 2x + 5

Reorder the terms:
8 + -11x + 4x2 = 2x + 5

Reorder the terms:
8 + -11x + 4x2 = 5 + 2x

Solving
8 + -11x + 4x2 = 5 + 2x

Solving for variable 'x'.

Reorder the terms:
8 + -5 + -11x + -2x + 4x2 = 5 + 2x + -5 + -2x

Combine like terms: 8 + -5 = 3
3 + -11x + -2x + 4x2 = 5 + 2x + -5 + -2x

Combine like terms: -11x + -2x = -13x
3 + -13x + 4x2 = 5 + 2x + -5 + -2x

Reorder the terms:
3 + -13x + 4x2 = 5 + -5 + 2x + -2x

Combine like terms: 5 + -5 = 0
3 + -13x + 4x2 = 0 + 2x + -2x
3 + -13x + 4x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -13x + 4x2 = 0

Factor a trinomial.
(1 + -4x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0.25, 3}

See similar equations:

| 2(5-x)=6 | | 6x^2-1x-7=0 | | -2(x+2)-5=2x+3 | | 4x^2-7x+9=9x+2 | | 4x+17=78x+2 | | 9w-7=11 | | 36-4t=56 | | 0.5(6+21)=5t-9 | | 9a+3(8-2a)= | | 5f*4g= | | 22x^2+x+2=0 | | x^2+23x+14=0 | | -sin(3x)=cos(3x) | | x^2-2x+5=9x-5 | | 12-4/5m=6 | | 11x-5=7x+4 | | 0=6x+7 | | -4=6x+7 | | x^2-23x+121=0 | | f(10)=6x+7 | | xy-4y+5x+20=0 | | f(x)=x^2-12x+44 | | 7x-23=5x+45 | | 25-4x=10-7x | | 2x+11=-19-3x | | y=4x^2+25 | | 6+12x=-38+x | | 6+49x=28x+12 | | 40Q-Q^2=400 | | -13+2x=-39+8x | | 6x+40=15x-32x | | 18-6x=6-10x |

Equations solver categories