(2x-6)(1+x)-6x^2+54=0

Simple and best practice solution for (2x-6)(1+x)-6x^2+54=0 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 (2x-6)(1+x)-6x^2+54=0 equation:


Simplifying
(2x + -6)(1 + x) + -6x2 + 54 = 0

Reorder the terms:
(-6 + 2x)(1 + x) + -6x2 + 54 = 0

Multiply (-6 + 2x) * (1 + x)
(-6(1 + x) + 2x * (1 + x)) + -6x2 + 54 = 0
((1 * -6 + x * -6) + 2x * (1 + x)) + -6x2 + 54 = 0
((-6 + -6x) + 2x * (1 + x)) + -6x2 + 54 = 0
(-6 + -6x + (1 * 2x + x * 2x)) + -6x2 + 54 = 0
(-6 + -6x + (2x + 2x2)) + -6x2 + 54 = 0

Combine like terms: -6x + 2x = -4x
(-6 + -4x + 2x2) + -6x2 + 54 = 0

Reorder the terms:
-6 + 54 + -4x + 2x2 + -6x2 = 0

Combine like terms: -6 + 54 = 48
48 + -4x + 2x2 + -6x2 = 0

Combine like terms: 2x2 + -6x2 = -4x2
48 + -4x + -4x2 = 0

Solving
48 + -4x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(12 + -1x + -1x2) = 0

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

Ignore the factor 4.

Subproblem 1

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

Subproblem 2

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Solution

x = {3, -4}

See similar equations:

| (x^3+x^2+x+1)(12x-7)= | | 3sinx=1/18 | | 3sinx=18 | | (x^3+x^2+x+1)(11x-8)= | | 6x+4=27-(x+2)-(5-3x) | | x-(2m+1)x+3=0 | | 8x-5+12x-7x-11=-3+6-9+10x | | 6x+22=2x+82 | | x-8.1=-9.8 | | -(5x-1)+3x-8=-7 | | -34X-24Y=0 | | 9x(x+6)-(3x+1)=1 | | 9x(x+6)-(9x+2)=1 | | 6.596x-843100+(669844-4.344x)+235607=83125 | | 25-5x=11-7x | | cos(x-a)=sin(a+24) | | 6x+11=-43-3x | | tgx+3=0 | | 2+7x=-4+x | | 25+18=-15-12x | | tdb*4-1=14 | | 2cos^2(3x)+3cos(3x)-2=0 | | adb*4+5=10 | | y+2x=57 | | 4x+13=43-4x | | y=57-2x | | 2p=80 | | 7+12x=-4+x | | ax^2-12x+9=0 | | 10m-26=47 | | 560*0.15= | | (3y+2)2+3y=1 |

Equations solver categories