x^2-4x+a=(x-1)(x+b)

Simple and best practice solution for x^2-4x+a=(x-1)(x+b) 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^2-4x+a=(x-1)(x+b) equation:


Simplifying
x2 + -4x + a = (x + -1)(x + b)

Reorder the terms:
a + -4x + x2 = (x + -1)(x + b)

Reorder the terms:
a + -4x + x2 = (-1 + x)(x + b)

Reorder the terms:
a + -4x + x2 = (-1 + x)(b + x)

Multiply (-1 + x) * (b + x)
a + -4x + x2 = (-1(b + x) + x(b + x))
a + -4x + x2 = ((b * -1 + x * -1) + x(b + x))
a + -4x + x2 = ((-1b + -1x) + x(b + x))
a + -4x + x2 = (-1b + -1x + (b * x + x * x))
a + -4x + x2 = (-1b + -1x + (bx + x2))

Reorder the terms:
a + -4x + x2 = (-1b + bx + -1x + x2)
a + -4x + x2 = (-1b + bx + -1x + x2)

Add '-1x2' to each side of the equation.
a + -4x + x2 + -1x2 = -1b + bx + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
a + -4x + 0 = -1b + bx + -1x + x2 + -1x2
a + -4x = -1b + bx + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
a + -4x = -1b + bx + -1x + 0
a + -4x = -1b + bx + -1x

Solving
a + -4x = -1b + bx + -1x

Solving for variable 'a'.

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

Add '4x' to each side of the equation.
a + -4x + 4x = -1b + bx + -1x + 4x

Combine like terms: -4x + 4x = 0
a + 0 = -1b + bx + -1x + 4x
a = -1b + bx + -1x + 4x

Combine like terms: -1x + 4x = 3x
a = -1b + bx + 3x

Simplifying
a = -1b + bx + 3x

See similar equations:

| -20x+4u-12u-8x= | | 5x+9y=62 | | 410x=400x+100000 | | 7-(-4t)=4t-21t | | (2x^-1y^-4z^-7/10x^-2y^-6z)^-1 | | 30+b=50 | | 12x100/2= | | 625000-37000=0 | | -3=-3/10-w | | 66+6x=71+5x | | 75+6x=83+5x | | 3y-6x+3=0 | | p*o*o*p=1 | | po=op | | 3ln(8-x)-x=0 | | oranges=ap^2les | | ln(4)=x | | ln(4)=2 | | -8sint+8cost= | | 6x^2+26x+95=0 | | 6x^2*6x+26x+95=0 | | -x^2-4x+46=0 | | 6x*6x+26x+95= | | 6*6+26x+95=0 | | 4x*-12=48+12 | | 20x^2+50x+30= | | 2X-3y^2=-25 | | -7x^2-21x+28= | | 2X^2-3y^2=-25 | | 2X^2-3y=-25 | | -2x+3x+5= | | x^3-4x=12 |

Equations solver categories