4x^2-3x+11=5x+8

Simple and best practice solution for 4x^2-3x+11=5x+8 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^2-3x+11=5x+8 equation: 


Simplifying
4x2 + -3x + 11 = 5x + 8

Reorder the terms:
11 + -3x + 4x2 = 5x + 8

Reorder the terms:
11 + -3x + 4x2 = 8 + 5x

Solving
11 + -3x + 4x2 = 8 + 5x

Solving for variable 'x'.

Reorder the terms:
11 + -8 + -3x + -5x + 4x2 = 8 + 5x + -8 + -5x

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

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

Reorder the terms:
3 + -8x + 4x2 = 8 + -8 + 5x + -5x

Combine like terms: 8 + -8 = 0
3 + -8x + 4x2 = 0 + 5x + -5x
3 + -8x + 4x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -8x + 4x2 = 0

Factor a trinomial.
(1 + -2x)(3 + -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 '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0.5, 1.5}

See similar equations:

| 2(3b+4)=44 | | m^2-2m+5=0 | | 12z+34*6-7(2z/5)=435 | | m^2+3m+2=0 | | 30=5(3x+4) | | -2(12)+3(1.71)= | | x^2-7x-9=4x+3 | | m^2+m+1=0 | | -5+25x+-40x-10=-12x | | m^2-12m+36=0 | | 176-3x=24x+23 | | -5-25x+-40x-10=-4x-8x | | 10-9x=43-16x | | -5-25x+-40x-10=-12x | | 3x-6-12x+15=9x+3x-8 | | m^2=1-3m | | 8m=2(3m+2) | | 9+6(t-9)=4(t+7)+9 | | 80x=7034 | | 20-5x=11+4x | | 6x+1=3x+10 | | -12x+-9+24x+4=43 | | 3+4=2x | | (4x+3)(2x-5)=0 | | R^2-14R+45=0 | | 24x^2=55x+89 | | 3n-5=48+40n | | n-5=48+40n | | 97-2x=4x+13 | | 9x^2-7=0 | | 34=-55+89 | | 59-5x=4x+16 |

Equations solver categories