(x-3)(x-4)+8=x

Simple and best practice solution for (x-3)(x-4)+8=x 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-3)(x-4)+8=x equation:


Simplifying
(x + -3)(x + -4) + 8 = x

Reorder the terms:
(-3 + x)(x + -4) + 8 = x

Reorder the terms:
(-3 + x)(-4 + x) + 8 = x

Multiply (-3 + x) * (-4 + x)
(-3(-4 + x) + x(-4 + x)) + 8 = x
((-4 * -3 + x * -3) + x(-4 + x)) + 8 = x
((12 + -3x) + x(-4 + x)) + 8 = x
(12 + -3x + (-4 * x + x * x)) + 8 = x
(12 + -3x + (-4x + x2)) + 8 = x

Combine like terms: -3x + -4x = -7x
(12 + -7x + x2) + 8 = x

Reorder the terms:
12 + 8 + -7x + x2 = x

Combine like terms: 12 + 8 = 20
20 + -7x + x2 = x

Solving
20 + -7x + x2 = x

Solving for variable 'x'.

Reorder the terms:
20 + -7x + -1x + x2 = x + -1x

Combine like terms: -7x + -1x = -8x
20 + -8x + x2 = x + -1x

Combine like terms: x + -1x = 0
20 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + -8x + -20 + x2 = 0 + -20

Reorder the terms:
20 + -20 + -8x + x2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -8x + x2 = 0 + -20
-8x + x2 = 0 + -20

Combine like terms: 0 + -20 = -20
-8x + x2 = -20

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -20 + 16

Reorder the terms:
16 + -8x + x2 = -20 + 16

Combine like terms: -20 + 16 = -4
16 + -8x + x2 = -4

Factor a perfect square on the left side:
(x + -4)(x + -4) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 4p^2+64=0 | | -9x^2+11=-10x | | 4+5(1+3n)=32 | | 2y^2+9y=-5 | | 2(x^2-1)=x^2+7 | | 520000=x*.8 | | 4-18=x | | 3y+10=5x+1 | | 3iy+4y-2ix-x=3-4i | | (X-2).4+36=45.2+x+4 | | 7(x-7)=3(x-3) | | 5d-8e=26 | | 5x-7=6y+4 | | 2(4x+1)=1(x+5)+1(x-3) | | 5(x+1)-3=-13 | | r-3-4=11 | | 800-240x+12x^2=0 | | 9d-e=-2 | | 5x+5=3x^2 | | 0.85T=Q | | f(-3)=-2(-3)+12 | | (x+5)2=(x-3)2 | | 2x-5(x-3)=-6+5x-11 | | b^2-3b+12=0 | | -4r+2r=-27 | | Sinx=0.328 | | 4x^4=3 | | 7x+4=4-(6x-9) | | 9x^2-33x+24=0 | | 3p+4q=31 | | y=x^2+121 | | -3c-9=-5 |

Equations solver categories