4x^2-15x+29=6x+2

Simple and best practice solution for 4x^2-15x+29=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^2-15x+29=6x+2 equation: 


Simplifying
4x2 + -15x + 29 = 6x + 2

Reorder the terms:
29 + -15x + 4x2 = 6x + 2

Reorder the terms:
29 + -15x + 4x2 = 2 + 6x

Solving
29 + -15x + 4x2 = 2 + 6x

Solving for variable 'x'.

Reorder the terms:
29 + -2 + -15x + -6x + 4x2 = 2 + 6x + -2 + -6x

Combine like terms: 29 + -2 = 27
27 + -15x + -6x + 4x2 = 2 + 6x + -2 + -6x

Combine like terms: -15x + -6x = -21x
27 + -21x + 4x2 = 2 + 6x + -2 + -6x

Reorder the terms:
27 + -21x + 4x2 = 2 + -2 + 6x + -6x

Combine like terms: 2 + -2 = 0
27 + -21x + 4x2 = 0 + 6x + -6x
27 + -21x + 4x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
27 + -21x + 4x2 = 0

Factor a trinomial.
(9 + -4x)(3 + -1x) = 0


Subproblem 1
Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 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 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25

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 = {2.25, 3}

See similar equations:

| 9kx^2+6kx+k= | | -7=2 | | 54x^2*107x-2= | | -19-9x+11x=5 | | 6d+7=55 | | 5x-32-2x=16 | | 2x*70+x*60+x+1*50+x+1*150=1000 | | 15-b=9 | | 1/2x+2=8 | | 5x-2x-21=42 | | a/6+5=8 | | 2n+3=37 | | -5x+11x-53=55 | | 3x^2-72x+324=0 | | 7x-5-5x=13 | | -2(2s-2)-4=-3(5s+1)-5 | | -5x+11x-53= | | 28-3c=13 | | 24x^2+119x-5= | | x^2+12x-5=4x+4 | | -2(4s-1)-2=-3(4s+3)-4 | | x^2+2x-6=2 | | 4-20s+25s^2= | | 9x+(-6)=3(2+x)+6 | | 12-4X=-16 | | 21-6X=15 | | 3a-2=8 | | x/13=5/13 | | 23+4X=43 | | 2(x+2)=(5x-2) | | 3/4+2b=1/2 | | 4(x-7)+9=-19 |

Equations solver categories