4x^2-7x-2=(4x+1)(x-b)

Simple and best practice solution for 4x^2-7x-2=(4x+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 4x^2-7x-2=(4x+1)(x-b) equation:


Simplifying
4x2 + -7x + -2 = (4x + 1)(x + -1b)

Reorder the terms:
-2 + -7x + 4x2 = (4x + 1)(x + -1b)

Reorder the terms:
-2 + -7x + 4x2 = (1 + 4x)(x + -1b)

Reorder the terms:
-2 + -7x + 4x2 = (1 + 4x)(-1b + x)

Multiply (1 + 4x) * (-1b + x)
-2 + -7x + 4x2 = (1(-1b + x) + 4x * (-1b + x))
-2 + -7x + 4x2 = ((-1b * 1 + x * 1) + 4x * (-1b + x))
-2 + -7x + 4x2 = ((-1b + 1x) + 4x * (-1b + x))
-2 + -7x + 4x2 = (-1b + 1x + (-1b * 4x + x * 4x))
-2 + -7x + 4x2 = (-1b + 1x + (-4bx + 4x2))

Reorder the terms:
-2 + -7x + 4x2 = (-1b + -4bx + 1x + 4x2)
-2 + -7x + 4x2 = (-1b + -4bx + 1x + 4x2)

Add '-4x2' to each side of the equation.
-2 + -7x + 4x2 + -4x2 = -1b + -4bx + 1x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-2 + -7x + 0 = -1b + -4bx + 1x + 4x2 + -4x2
-2 + -7x = -1b + -4bx + 1x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-2 + -7x = -1b + -4bx + 1x + 0
-2 + -7x = -1b + -4bx + 1x

Solving
-2 + -7x = -1b + -4bx + 1x

Solving for variable 'x'.

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

Add '4bx' to each side of the equation.
-2 + 4bx + -7x = -1b + -4bx + 4bx + 1x

Combine like terms: -4bx + 4bx = 0
-2 + 4bx + -7x = -1b + 0 + 1x
-2 + 4bx + -7x = -1b + 1x

Add '-1x' to each side of the equation.
-2 + 4bx + -7x + -1x = -1b + 1x + -1x

Combine like terms: -7x + -1x = -8x
-2 + 4bx + -8x = -1b + 1x + -1x

Combine like terms: 1x + -1x = 0
-2 + 4bx + -8x = -1b + 0
-2 + 4bx + -8x = -1b

Add '2' to each side of the equation.
-2 + 4bx + 2 + -8x = 2 + -1b

Reorder the terms:
-2 + 2 + 4bx + -8x = 2 + -1b

Combine like terms: -2 + 2 = 0
0 + 4bx + -8x = 2 + -1b
4bx + -8x = 2 + -1b

Reorder the terms:
-2 + b + 4bx + -8x = 2 + -1b + -2 + b

Reorder the terms:
-2 + b + 4bx + -8x = 2 + -2 + -1b + b

Combine like terms: 2 + -2 = 0
-2 + b + 4bx + -8x = 0 + -1b + b
-2 + b + 4bx + -8x = -1b + b

Combine like terms: -1b + b = 0
-2 + b + 4bx + -8x = 0

The solution to this equation could not be determined.

See similar equations:

| -8n(n-5)=-2(4n+11) | | 2x+2*3x-7=145 | | -3x+20=-55 | | 10x-61=44+3x | | -95+14x=10x+45 | | 4x+110=45 | | 2.2=4.9-0.9x | | 2x+3y=x^2+y | | 2/3(6w-18)=12 | | -2/5x=3/5 | | x^2+2x+1=7x-3 | | 3x^2-1133x-100=0 | | 3(3z-1)-3(3-2z)=6 | | Log(3x+4)=7 | | 109-(5x+9)=5(x+9)+x | | -5(n+2)+14=-2n-14 | | 3x-12=4x-13 | | x*25-36=5/12 | | 8x-2=4x+6 | | 37.66=8g+3.74 | | 2(6-3x-8x)+8(2x+6)=24 | | -a/6-31=64 | | 3y-10+y+48=7y+40-5y | | -10t+8=-2 | | 5.7(x)=7.8(x+10) | | 7/ln(x) | | 3x^1/2-8x^1/4-3=0 | | 4x-25-3x+18=180 | | 3=3c-3 | | 8x+10=80 | | 5n-5=-20 | | 6v-36=-6(6+v) |

Equations solver categories