x^2+12x-21=7x+3

Simple and best practice solution for x^2+12x-21=7x+3 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 x^2+12x-21=7x+3 equation: 


Simplifying
x2 + 12x + -21 = 7x + 3

Reorder the terms:
-21 + 12x + x2 = 7x + 3

Reorder the terms:
-21 + 12x + x2 = 3 + 7x

Solving
-21 + 12x + x2 = 3 + 7x

Solving for variable 'x'.

Reorder the terms:
-21 + -3 + 12x + -7x + x2 = 3 + 7x + -3 + -7x

Combine like terms: -21 + -3 = -24
-24 + 12x + -7x + x2 = 3 + 7x + -3 + -7x

Combine like terms: 12x + -7x = 5x
-24 + 5x + x2 = 3 + 7x + -3 + -7x

Reorder the terms:
-24 + 5x + x2 = 3 + -3 + 7x + -7x

Combine like terms: 3 + -3 = 0
-24 + 5x + x2 = 0 + 7x + -7x
-24 + 5x + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-24 + 5x + x2 = 0

Factor a trinomial.
(-8 + -1x)(3 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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 = {-8, 3}

See similar equations:

| .75-1-0.5=2.75 | | x^2-8x-64=-8x | | y/4=5/10 | | 10+x+(3x+5)= | | x^2-2x+3=4x-6 | | x^2+4x+5=-6x+5 | | 5ln(4x)+6=8 | | 2(3u-7)=6 | | Inx=1.6 | | x^2-7x-6=-6 | | 2/3a*9 | | x^2+6x-63=4x | | x^2-12x+21=-6 | | X=9+12x | | x^2+17=-10x-7 | | x^2-11x+68=5x+5 | | y=-2*-12 | | x^2-3x-1=-3x | | 5x-14=10x-59 | | x^2+20x+72=3x | | x^2-5x-13=-5x-4 | | x^2=x^2/1 | | 10x+1=5x+8 | | 3/2x-6x/4x^2=0 | | x^2-2x-66=-3 | | x^2+7x+26=-5x+6 | | 3x+16=8x-44 | | 4(5y+7)=8y-8 | | (8n^4+3)+(7+6n^4)= | | x^2-77=4 | | 4.20=K | | 1/2•3.14•9 |

Equations solver categories