4x^2-15x+31=5x+10

Simple and best practice solution for 4x^2-15x+31=5x+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^2-15x+31=5x+10 equation: 


Simplifying
4x2 + -15x + 31 = 5x + 10

Reorder the terms:
31 + -15x + 4x2 = 5x + 10

Reorder the terms:
31 + -15x + 4x2 = 10 + 5x

Solving
31 + -15x + 4x2 = 10 + 5x

Solving for variable 'x'.

Reorder the terms:
31 + -10 + -15x + -5x + 4x2 = 10 + 5x + -10 + -5x

Combine like terms: 31 + -10 = 21
21 + -15x + -5x + 4x2 = 10 + 5x + -10 + -5x

Combine like terms: -15x + -5x = -20x
21 + -20x + 4x2 = 10 + 5x + -10 + -5x

Reorder the terms:
21 + -20x + 4x2 = 10 + -10 + 5x + -5x

Combine like terms: 10 + -10 = 0
21 + -20x + 4x2 = 0 + 5x + -5x
21 + -20x + 4x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
21 + -20x + 4x2 = 0

Factor a trinomial.
(3 + -2x)(7 + -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 '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {1.5, 3.5}

See similar equations:

| 5(3g-4)= | | 6y+12=0 | | 9-10x=25-17x | | -7=-z | | 17-11=X-7 | | 17-11=-7 | | 4(2x-3)+2(x+4)=66 | | 13x+195=13[x+15] | | 10ax^2-23ax-5a=0 | | 5x+48+7x=12[x+4] | | ln(3x)+ln(x)=2 | | 4x^2-27x+43=-2x+7 | | 0.5x+0.5y=90 | | 2-(0.45*2)+0.5= | | 3v^2-4= | | 3(2x-1)+2(x+5)=55 | | x+2x=0 | | 0.3x-2(1.6x)-8=3(1.9x-4.1) | | 12t=24 | | 6m-2=2m-6 | | 10-x+5x-12-3x= | | k+4+6=5 | | 12w-5w=3.5 | | X^3+9x^2+24x+16=0 | | x-7-3x=-15 | | 5y^2=y-6 | | -3(3x-5)=-6 | | 7+7n+5n=7 | | 16=a+7a | | -11=2-8v-5 | | 12x^2-24x-64=0 | | -44=18-2a |

Equations solver categories