4x^2-23x+47=5x+2

Simple and best practice solution for 4x^2-23x+47=5x+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+47=5x+2 equation: 


Simplifying
4x2 + -23x + 47 = 5x + 2

Reorder the terms:
47 + -23x + 4x2 = 5x + 2

Reorder the terms:
47 + -23x + 4x2 = 2 + 5x

Solving
47 + -23x + 4x2 = 2 + 5x

Solving for variable 'x'.

Reorder the terms:
47 + -2 + -23x + -5x + 4x2 = 2 + 5x + -2 + -5x

Combine like terms: 47 + -2 = 45
45 + -23x + -5x + 4x2 = 2 + 5x + -2 + -5x

Combine like terms: -23x + -5x = -28x
45 + -28x + 4x2 = 2 + 5x + -2 + -5x

Reorder the terms:
45 + -28x + 4x2 = 2 + -2 + 5x + -5x

Combine like terms: 2 + -2 = 0
45 + -28x + 4x2 = 0 + 5x + -5x
45 + -28x + 4x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
45 + -28x + 4x2 = 0

Factor a trinomial.
(5 + -2x)(9 + -2x) = 0


Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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 = {2.5, 4.5}

See similar equations:

| 5(9-w)=4(w+18) | | -15x+12(0)=0 | | 6x^2+17x-3=0 | | 6x+10=-65-9x | | 105-4x=3x+7 | | 4x+4=12+2x+6 | | 4(0)+5y=5 | | x^2+3x-35=0 | | 6+24v-(-11-v)=42 | | 0.15+w+14=14.60 | | 2(x-4)=3(a+4) | | 6x+33=6x+33 | | 4x+5(0)=5 | | 4(x+4)=20 | | 3x+12=84-6x | | 9+5x=21+x | | 2x+65=8x+11 | | -5x-10+2X=8 | | 3x-20+2=3 | | 14+0.15w=14.60 | | 16=2(S+9)-4 | | 6x-1=15x-82 | | 2(x+3)-5(x-1)=32 | | a=10-3(1.5+.5c)-c | | 2(10-3b-c)+2b+4c=14 | | 3x+14=-56-7x | | -5x+13-7X-2=4X-9+5 | | -3-4x=12-9x | | 7x-6=5x+42 | | 2a+2b+2c=12 | | 2x+7=67-4x | | 3x+4=2(x+7) |

Equations solver categories