4x^2-15x+17=2x+2

Simple and best practice solution for 4x^2-15x+17=2x+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^2-15x+17=2x+2 equation: 


Simplifying
4x2 + -15x + 17 = 2x + 2

Reorder the terms:
17 + -15x + 4x2 = 2x + 2

Reorder the terms:
17 + -15x + 4x2 = 2 + 2x

Solving
17 + -15x + 4x2 = 2 + 2x

Solving for variable 'x'.

Reorder the terms:
17 + -2 + -15x + -2x + 4x2 = 2 + 2x + -2 + -2x

Combine like terms: 17 + -2 = 15
15 + -15x + -2x + 4x2 = 2 + 2x + -2 + -2x

Combine like terms: -15x + -2x = -17x
15 + -17x + 4x2 = 2 + 2x + -2 + -2x

Reorder the terms:
15 + -17x + 4x2 = 2 + -2 + 2x + -2x

Combine like terms: 2 + -2 = 0
15 + -17x + 4x2 = 0 + 2x + -2x
15 + -17x + 4x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -17x + 4x2 = 0

Factor a trinomial.
(5 + -4x)(3 + -1x) = 0


Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {1.25, 3}

See similar equations:

| 9906/10000 | | b^2=-21-10b | | a^8b^10/a^9b^12 | | x+1/3x-4=40 | | (3y+7)(5-y)=0 | | (-5x^2)(0.3x^4)(1.2y^3)= | | 2x^2+xy-28y^2=0 | | a^3+a^2=64z+64 | | 2(x^3)+5xy+(y^3)=8 | | 2x^3+5xy+y^3=88 | | 12c+8d/4 | | 3x-5x=-21+33 | | 5z+3=21-z | | 2454/10000 | | 2/1000 | | 65/1000 | | 11p-8=69 | | 10=9p-17 | | 8(3y-5)=58 | | 40=-5(d-2) | | 138-6x=21x+15 | | 40=10-5d | | (7x-3)/6-(2x-3)/4=5/4 | | -7+22x=103 | | 7x-3/6-2x-3/4=5/4 | | x-24=7 | | 9x+5x=25+x | | 67-2x=9x+12 | | 2(2-x)=3(1+2x)+5 | | 5M+6=2M+18 | | 2/x-3 | | 1/x+5 |

Equations solver categories