4x*x-19x+55=9x+10

Simple and best practice solution for 4x*x-19x+55=9x+10 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*x-19x+55=9x+10 equation: 


Simplifying
4x * x + -19x + 55 = 9x + 10

Multiply x * x
4x2 + -19x + 55 = 9x + 10

Reorder the terms:
55 + -19x + 4x2 = 9x + 10

Reorder the terms:
55 + -19x + 4x2 = 10 + 9x

Solving
55 + -19x + 4x2 = 10 + 9x

Solving for variable 'x'.

Reorder the terms:
55 + -10 + -19x + -9x + 4x2 = 10 + 9x + -10 + -9x

Combine like terms: 55 + -10 = 45
45 + -19x + -9x + 4x2 = 10 + 9x + -10 + -9x

Combine like terms: -19x + -9x = -28x
45 + -28x + 4x2 = 10 + 9x + -10 + -9x

Reorder the terms:
45 + -28x + 4x2 = 10 + -10 + 9x + -9x

Combine like terms: 10 + -10 = 0
45 + -28x + 4x2 = 0 + 9x + -9x
45 + -28x + 4x2 = 9x + -9x

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

| x^2+6x=42 | | 14-9x=146-37x | | 4t+30=6t | | 6x*x+x-40=0 | | 23x-5=133 | | 6x*x-40=0 | | 7y-12y+6= | | 3(y-7)=10 | | 4x*x+25x+25=0 | | 7n-4=100 | | -7+8+4=4+(-7)+8 | | 4x+(-5)-2x-2=4x-3x-3 | | x+6+x+3+x+9=180 | | y=3x^2-2x+6 | | x*x+7x-11=6x+1 | | c+m+m+m+m+(-a)=5m+d-a | | -5+4v=11 | | =5x^2-8x+3 | | -(-41-2s)-(3s+6)=36 | | x*x-8x+17=2 | | 13=5-b | | 7x^2+12=579 | | 5x+9=x-31 | | 21x-1=125 | | 4y-8x=16fory | | 5[r+3]=2r+6 | | 3z-40=26 | | 3v-80=5v-8 | | -5c+7c+3=15 | | 3(4y+5)+8=25 | | y=400-4/5 | | 12x+2y=10 |

Equations solver categories