4x^2-33x+37=-6x+2

Simple and best practice solution for 4x^2-33x+37=-6x+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^2-33x+37=-6x+2 equation: 


Simplifying
4x2 + -33x + 37 = -6x + 2

Reorder the terms:
37 + -33x + 4x2 = -6x + 2

Reorder the terms:
37 + -33x + 4x2 = 2 + -6x

Solving
37 + -33x + 4x2 = 2 + -6x

Solving for variable 'x'.

Reorder the terms:
37 + -2 + -33x + 6x + 4x2 = 2 + -6x + -2 + 6x

Combine like terms: 37 + -2 = 35
35 + -33x + 6x + 4x2 = 2 + -6x + -2 + 6x

Combine like terms: -33x + 6x = -27x
35 + -27x + 4x2 = 2 + -6x + -2 + 6x

Reorder the terms:
35 + -27x + 4x2 = 2 + -2 + -6x + 6x

Combine like terms: 2 + -2 = 0
35 + -27x + 4x2 = 0 + -6x + 6x
35 + -27x + 4x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
35 + -27x + 4x2 = 0

Factor a trinomial.
(7 + -4x)(5 + -1x) = 0


Subproblem 1
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75

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 = {1.75, 5}

See similar equations:

| 5x+8-7=3x-4+11 | | 6(t-t)-76=-142 | | x^2+16y-4=0 | | 6t-3=7t-8 | | a+(4b-22)+(2c+7)=180 | | x^10-60x=452x | | x^2-52.977x+500=0 | | x^2-53x+500=0 | | x^2-53x-500=0 | | x^2-53x+55=0 | | x^2-52.977x+55=0 | | x^6-8x=235x | | y=x^2+1.75 | | 2/(2x-4)=3/(3x-6) | | y=-0.004x^2+0.4x | | x/70=6/21 | | 9m+1=5m-17 | | 7(p-2)-2(7-3p)+2=0 | | 2(5e+2)+3(2e-9)=5(8e-7) | | 1/4w/2w | | 13g-(3g+4k)= | | 2m^2-15m+22= | | x^7-30x=-29x | | x+116=2x | | 3x^2=-14x+15 | | 128x+16384y+2097152z=327 | | 3m+12n=3 | | 4x^3+42x^2+122x+84=0 | | x^4-2x=214x | | (7-x)(5+x)=0 | | 3m+12n= | | 0.3x-0.2(6-4x)=-0.5(x-4) |

Equations solver categories