4x^2-13x+14=2x+5

Simple and best practice solution for 4x^2-13x+14=2x+5 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^2-13x+14=2x+5 equation: 


Simplifying
4x2 + -13x + 14 = 2x + 5

Reorder the terms:
14 + -13x + 4x2 = 2x + 5

Reorder the terms:
14 + -13x + 4x2 = 5 + 2x

Solving
14 + -13x + 4x2 = 5 + 2x

Solving for variable 'x'.

Reorder the terms:
14 + -5 + -13x + -2x + 4x2 = 5 + 2x + -5 + -2x

Combine like terms: 14 + -5 = 9
9 + -13x + -2x + 4x2 = 5 + 2x + -5 + -2x

Combine like terms: -13x + -2x = -15x
9 + -15x + 4x2 = 5 + 2x + -5 + -2x

Reorder the terms:
9 + -15x + 4x2 = 5 + -5 + 2x + -2x

Combine like terms: 5 + -5 = 0
9 + -15x + 4x2 = 0 + 2x + -2x
9 + -15x + 4x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -15x + 4x2 = 0

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


Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

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 = {0.75, 3}

See similar equations:

| 3+4s=10+2s | | 10*5+x=80 | | h=mp+c | | 5(2x-2)=-20 | | 46x+1996=3200 | | x^3-3x^2-2=0 | | h^2+17h+72=0 | | 6(4+3x)=7(x-1)+1 | | x-(5/5)+10=w | | 6x^2-7-3=0 | | 2w+2(2w-7)=10 | | -2=-3+2+7x | | x-(5/5)+10=x | | 3y-xy= | | 7x+3=9-(5x-7) | | -2=-3x+2+2+7x | | 5(6+n)=50 | | 3-0/5=x | | x=0/10(2/1) | | (24+11)*w=x | | 52=c+18 | | 12x^3+24-36x=0 | | x=0/10(2) | | -14-4=13y-14-12y | | -150=-10(3b) | | -a^2-6a-9=0 | | -8y^3+5y^3= | | 4(x+1)=5+6x | | 4x=2x+36 | | (24+11)timesw=x | | 3c+c-8+10=8c-2 | | h^2-2h-24=0 |

Equations solver categories