2x^2+12x-5=x^2+8x+16

Simple and best practice solution for 2x^2+12x-5=x^2+8x+16 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 2x^2+12x-5=x^2+8x+16 equation: 


Simplifying
2x2 + 12x + -5 = x2 + 8x + 16

Reorder the terms:
-5 + 12x + 2x2 = x2 + 8x + 16

Reorder the terms:
-5 + 12x + 2x2 = 16 + 8x + x2

Solving
-5 + 12x + 2x2 = 16 + 8x + x2

Solving for variable 'x'.

Reorder the terms:
-5 + -16 + 12x + -8x + 2x2 + -1x2 = 16 + 8x + x2 + -16 + -8x + -1x2

Combine like terms: -5 + -16 = -21
-21 + 12x + -8x + 2x2 + -1x2 = 16 + 8x + x2 + -16 + -8x + -1x2

Combine like terms: 12x + -8x = 4x
-21 + 4x + 2x2 + -1x2 = 16 + 8x + x2 + -16 + -8x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-21 + 4x + 1x2 = 16 + 8x + x2 + -16 + -8x + -1x2

Reorder the terms:
-21 + 4x + 1x2 = 16 + -16 + 8x + -8x + x2 + -1x2

Combine like terms: 16 + -16 = 0
-21 + 4x + 1x2 = 0 + 8x + -8x + x2 + -1x2
-21 + 4x + 1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
-21 + 4x + 1x2 = 0 + x2 + -1x2
-21 + 4x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-21 + 4x + 1x2 = 0

Factor a trinomial.
(-7 + -1x)(3 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 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 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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 = {-7, 3}

See similar equations:

| 2v^2+10v+16=(v+1)(v+1) | | y^2+13y+49=0 | | x/7=14 | | 4x^3-7w^2-12w+21=0 | | 9x+10=82 | | 36v^2-u^2=0 | | 2*(x+1)+6=-18 | | 5x+23=2x+11 | | 2x+10=x+4 | | -9x+6=-30-3x | | 3(x+4)-(2x+2)=4(x+4) | | 8*2-2*-3=0 | | b+6=5 | | 6x-12=-32+2x | | 6x-3=2x | | -6x-12=-32+2x | | 3x+4x+2=0 | | 10x^2-4x+3= | | 5(2h-1)-4h=14-(6h-5) | | 13x-2-3=21 | | -3(x+1)=-6 | | 2x-5=30+9x | | ln(x+1)+ln(x-2)=ln(x+6) | | 7x+3=3x-2 | | x+(4x-2)=13-(x+3) | | 12*-7*2+64=0 | | ln(x+1)+ln(x-2)=ln(x-6) | | -8x+9=4x-27 | | 0=-.025(x-80)(x-80)+164 | | A=5000+5000(0.0425t) | | ln(x)+ln(x-6)=ln(8x) | | n+9m= |

Equations solver categories