4x^2-21x+50=8x+5

Simple and best practice solution for 4x^2-21x+50=8x+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^2-21x+50=8x+5 equation: 


Simplifying
4x2 + -21x + 50 = 8x + 5

Reorder the terms:
50 + -21x + 4x2 = 8x + 5

Reorder the terms:
50 + -21x + 4x2 = 5 + 8x

Solving
50 + -21x + 4x2 = 5 + 8x

Solving for variable 'x'.

Reorder the terms:
50 + -5 + -21x + -8x + 4x2 = 5 + 8x + -5 + -8x

Combine like terms: 50 + -5 = 45
45 + -21x + -8x + 4x2 = 5 + 8x + -5 + -8x

Combine like terms: -21x + -8x = -29x
45 + -29x + 4x2 = 5 + 8x + -5 + -8x

Reorder the terms:
45 + -29x + 4x2 = 5 + -5 + 8x + -8x

Combine like terms: 5 + -5 = 0
45 + -29x + 4x2 = 0 + 8x + -8x
45 + -29x + 4x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
45 + -29x + 4x2 = 0

Factor a trinomial.
(9 + -4x)(5 + -1x) = 0


Subproblem 1
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

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 = {2.25, 5}

See similar equations:

| 76-2x=43x+21 | | x+3x+2x+3= | | 3y-5+y+41=8y+40-6y | | x^3+x^2-4x+80=0 | | 4x+5=-37-10x | | 10,42z= | | 11x^2-8x+2=0 | | 5t-6=9t-14 | | 205-2x=34x+17 | | 2x^2+15x-125=0 | | 8x=27 | | 128-3x=24x+17 | | 10-9x=20-44x | | 18-x=7 | | 8x+9=-87 | | 7-7x=88-28x | | 7p+2=p+8 | | 4=-8+4w | | 9x^2-54x+105=0 | | 3.14x+17.5=9.77+24.1 | | 0.5x+3=7 | | 2B+7=17-3B | | 0.8x+2.4=4.8 | | 2t-12=12+6t | | -ax=b+6a | | 5m-7=2m-1 | | 6x+40=10x-8 | | -2ab+2bx=ab | | 2e+5=13 | | 163-4X=23X+22 | | 165-5x=40x+15 | | 4d=11 |

Equations solver categories