x-14x-48=(x-8)(x+6)

Simple and best practice solution for x-14x-48=(x-8)(x+6) 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-14x-48=(x-8)(x+6) equation:


Simplifying
x + -14x + -48 = (x + -8)(x + 6)

Reorder the terms:
-48 + x + -14x = (x + -8)(x + 6)

Combine like terms: x + -14x = -13x
-48 + -13x = (x + -8)(x + 6)

Reorder the terms:
-48 + -13x = (-8 + x)(x + 6)

Reorder the terms:
-48 + -13x = (-8 + x)(6 + x)

Multiply (-8 + x) * (6 + x)
-48 + -13x = (-8(6 + x) + x(6 + x))
-48 + -13x = ((6 * -8 + x * -8) + x(6 + x))
-48 + -13x = ((-48 + -8x) + x(6 + x))
-48 + -13x = (-48 + -8x + (6 * x + x * x))
-48 + -13x = (-48 + -8x + (6x + x2))

Combine like terms: -8x + 6x = -2x
-48 + -13x = (-48 + -2x + x2)

Add '48' to each side of the equation.
-48 + 48 + -13x = -48 + -2x + 48 + x2

Combine like terms: -48 + 48 = 0
0 + -13x = -48 + -2x + 48 + x2
-13x = -48 + -2x + 48 + x2

Reorder the terms:
-13x = -48 + 48 + -2x + x2

Combine like terms: -48 + 48 = 0
-13x = 0 + -2x + x2
-13x = -2x + x2

Solving
-13x = -2x + x2

Solving for variable 'x'.

Combine like terms: -13x + 2x = -11x
-11x + -1x2 = -2x + x2 + 2x + -1x2

Reorder the terms:
-11x + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
-11x + -1x2 = 0 + x2 + -1x2
-11x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-11x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(11 + x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {0, -11}

See similar equations:

| 6(2+3x)=174 | | (15-4x)=-33 | | 10x+16=3(3x+5) | | 5x-9=-2(x-3) | | 23=x+(x+3)+2x | | 10=-3b+5b | | 4(4x-9)-7=4(x-2)+49 | | -3k+k=2 | | A^2-12ab+35b^2= | | 3(x+1)=2(x+4)-1 | | n+1+5n=-11 | | 5n^2-1=44 | | 20-4(2w+1)=8w-4(8+w) | | 336=-x(-2x-4) | | -2(-5a-4)+a= | | 65+x+(x-5)=180 | | x^2+7= | | x^2+3=16 | | 8b+4-2b=-14 | | 6(3-z)=-z | | 1+3(1+3x)= | | 7x+1=7X | | 6k+h=-14 | | 3x+2+x=(x+2)+3 | | 2(3z+2)-7=33 | | 5x+3=-6+3x+21 | | 7x-4=x+26 | | 3-.2y-1.4y=-9.2 | | -6(x-2)=24 | | 2(x-3)-17=13-3(x+20) | | 18y-11=76 | | 3(v+8)+6= |

Equations solver categories