4x^2-17x+31=7x+4

Simple and best practice solution for 4x^2-17x+31=7x+4 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^2-17x+31=7x+4 equation: 


Simplifying
4x2 + -17x + 31 = 7x + 4

Reorder the terms:
31 + -17x + 4x2 = 7x + 4

Reorder the terms:
31 + -17x + 4x2 = 4 + 7x

Solving
31 + -17x + 4x2 = 4 + 7x

Solving for variable 'x'.

Reorder the terms:
31 + -4 + -17x + -7x + 4x2 = 4 + 7x + -4 + -7x

Combine like terms: 31 + -4 = 27
27 + -17x + -7x + 4x2 = 4 + 7x + -4 + -7x

Combine like terms: -17x + -7x = -24x
27 + -24x + 4x2 = 4 + 7x + -4 + -7x

Reorder the terms:
27 + -24x + 4x2 = 4 + -4 + 7x + -7x

Combine like terms: 4 + -4 = 0
27 + -24x + 4x2 = 0 + 7x + -7x
27 + -24x + 4x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
27 + -24x + 4x2 = 0

Factor a trinomial.
(3 + -2x)(9 + -2x) = 0


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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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 = {1.5, 4.5}

See similar equations:

| x-9=-3/2x | | (-7)*(-3)= | | 3(4r-5)=2(7r-3) | | 9u-2u+2b= | | 5p^2-9pq+4q= | | 4n-3a=2n+2a | | 4y=5+6y-2 | | 2x^2-3x-20=0 | | 10x^3-105x^2+3=0 | | -12y+3x=96 | | 6(x+7)-8x=7x | | (T/p)m | | H=-81t^2+are+d | | 5x^2-42x-27=0 | | 4b^2+20b+25=20 | | 10(x+16)=-2(3-x) | | 5u-10=u+46+873875 | | X+25x+(x-37)=126 | | 6(x+7)-8=7 | | 3x+1=x+-3 | | 0.15x=0.08x+40 | | 3n+5+4n= | | .15x=.08x-40 | | 3x-6=12+x | | 1/5x-2/3(15)=30 | | 8x^2-10x+3=0 | | g+7g+4g=180 | | x^2-5x-4=-6x+2 | | .3=195 | | 3=-14-x | | -2x-6-8-9x=-12x | | x^2-5x-4=-6+2 |

Equations solver categories