3(x-2)(x+1)-4=2(x^2-2(x)(1)+1)

Simple and best practice solution for 3(x-2)(x+1)-4=2(x^2-2(x)(1)+1) 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 3(x-2)(x+1)-4=2(x^2-2(x)(1)+1) equation:


Simplifying
3(x + -2)(x + 1) + -4 = 2(x2 + -2(x)(1) + 1)

Reorder the terms:
3(-2 + x)(x + 1) + -4 = 2(x2 + -2(x)(1) + 1)

Reorder the terms:
3(-2 + x)(1 + x) + -4 = 2(x2 + -2(x)(1) + 1)

Multiply (-2 + x) * (1 + x)
3(-2(1 + x) + x(1 + x)) + -4 = 2(x2 + -2(x)(1) + 1)
3((1 * -2 + x * -2) + x(1 + x)) + -4 = 2(x2 + -2(x)(1) + 1)
3((-2 + -2x) + x(1 + x)) + -4 = 2(x2 + -2(x)(1) + 1)
3(-2 + -2x + (1 * x + x * x)) + -4 = 2(x2 + -2(x)(1) + 1)
3(-2 + -2x + (1x + x2)) + -4 = 2(x2 + -2(x)(1) + 1)

Combine like terms: -2x + 1x = -1x
3(-2 + -1x + x2) + -4 = 2(x2 + -2(x)(1) + 1)
(-2 * 3 + -1x * 3 + x2 * 3) + -4 = 2(x2 + -2(x)(1) + 1)
(-6 + -3x + 3x2) + -4 = 2(x2 + -2(x)(1) + 1)

Reorder the terms:
-6 + -4 + -3x + 3x2 = 2(x2 + -2(x)(1) + 1)

Combine like terms: -6 + -4 = -10
-10 + -3x + 3x2 = 2(x2 + -2(x)(1) + 1)

Reorder the terms for easier multiplication:
-10 + -3x + 3x2 = 2(x2 + -2 * 1x + 1)

Multiply -2 * 1
-10 + -3x + 3x2 = 2(x2 + -2x + 1)

Reorder the terms:
-10 + -3x + 3x2 = 2(1 + -2x + x2)
-10 + -3x + 3x2 = (1 * 2 + -2x * 2 + x2 * 2)
-10 + -3x + 3x2 = (2 + -4x + 2x2)

Solving
-10 + -3x + 3x2 = 2 + -4x + 2x2

Solving for variable 'x'.

Reorder the terms:
-10 + -2 + -3x + 4x + 3x2 + -2x2 = 2 + -4x + 2x2 + -2 + 4x + -2x2

Combine like terms: -10 + -2 = -12
-12 + -3x + 4x + 3x2 + -2x2 = 2 + -4x + 2x2 + -2 + 4x + -2x2

Combine like terms: -3x + 4x = 1x
-12 + 1x + 3x2 + -2x2 = 2 + -4x + 2x2 + -2 + 4x + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
-12 + 1x + 1x2 = 2 + -4x + 2x2 + -2 + 4x + -2x2

Reorder the terms:
-12 + 1x + 1x2 = 2 + -2 + -4x + 4x + 2x2 + -2x2

Combine like terms: 2 + -2 = 0
-12 + 1x + 1x2 = 0 + -4x + 4x + 2x2 + -2x2
-12 + 1x + 1x2 = -4x + 4x + 2x2 + -2x2

Combine like terms: -4x + 4x = 0
-12 + 1x + 1x2 = 0 + 2x2 + -2x2
-12 + 1x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-12 + 1x + 1x2 = 0

Factor a trinomial.
(-4 + -1x)(3 + -1x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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 = {-4, 3}

See similar equations:

| -6w+12=8w-32 | | 90+x+2x+60-x=180 | | 2/y-1)=4(y-3) | | 11.999960=4x^2+8x | | 11.294080=4x^2+8x | | 10.588200=4x^2+8x | | -7(3x-1)+12(2x-5)= | | 9.882320=4x^2+8x | | 9.176440=4x^2+8x | | 8.470560=4x^2+8x | | (-9)^3/2 | | 7.764680=4x^2+8x | | (-9)3/2 | | 5x*6x^2=78 | | 7xn=6 | | 2x+5y+10z=8950 | | x(3x-2)=408 | | 158=42-x | | 7.058800=4x^2+8x | | 6-8=7n | | 4g=g+g+g+g | | 2x+5y+10z=895 | | 6.352920=4x^2+8x | | 126=5x+1 | | 1/7x=24 | | s^2+9s+36= | | (3x+1)(x+1)=40 | | 2x+4x=64 | | (2+x)(4x-3)=0 | | x(14-2x)= | | 8p+5=-19 | | 5.647040=4x^2+8x |

Equations solver categories