(x-2)(x+7)=x^2+6

Simple and best practice solution for (x-2)(x+7)=x^2+6 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)(x+7)=x^2+6 equation: 


Simplifying
(x + -2)(x + 7) = x2 + 6

Reorder the terms:
(-2 + x)(x + 7) = x2 + 6

Reorder the terms:
(-2 + x)(7 + x) = x2 + 6

Multiply (-2 + x) * (7 + x)
(-2(7 + x) + x(7 + x)) = x2 + 6
((7 * -2 + x * -2) + x(7 + x)) = x2 + 6
((-14 + -2x) + x(7 + x)) = x2 + 6
(-14 + -2x + (7 * x + x * x)) = x2 + 6
(-14 + -2x + (7x + x2)) = x2 + 6

Combine like terms: -2x + 7x = 5x
(-14 + 5x + x2) = x2 + 6

Reorder the terms:
-14 + 5x + x2 = 6 + x2

Add '-1x2' to each side of the equation.
-14 + 5x + x2 + -1x2 = 6 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-14 + 5x + 0 = 6 + x2 + -1x2
-14 + 5x = 6 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-14 + 5x = 6 + 0
-14 + 5x = 6

Solving
-14 + 5x = 6

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 5x = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 5x = 6 + 14
5x = 6 + 14

Combine like terms: 6 + 14 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

See similar equations:

| -3x+2(-x+4)=33 | | -17=-2+5x | | 8=112 | | 6g^2-35g-6=0 | | 7x^2+96x+140=0 | | 35t+49t= | | -2(2+4x)-6x=-4-5x | | -6=14+-2(3+5x) | | -10=2(x-6) | | 82+105+8x+11+10x= | | 8x+3=2x-1(3) | | -4x+2(5x+18)=66 | | 300-.16= | | -34=-6+4v | | 9(4-4h)+20=-16 | | 2x+3(x-2)-3(x-6)=4(x-2) | | 7=5x-4+6x | | -4a-9(3-a)= | | 4x+20=3x+1.9 | | 5a+5-2a+10= | | Log2(x)/log3(x) | | -5+4w=-25 | | 3w^2-37w+12=0 | | -150=-6(8b+1) | | -6x+6(2x-5)=24 | | 616/1000 | | 12t-4=12(t+4) | | g+-16= | | -3x-4y=26 | | 2x+23+9(x-1)=0 | | (B+8)=(b+2) | | 3/4-1/2x=5/4 |

Equations solver categories