x^2-14x+48=(x-6)(x+8)

Simple and best practice solution for x^2-14x+48=(x-6)(x+8) 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^2-14x+48=(x-6)(x+8) equation:


Simplifying
x2 + -14x + 48 = (x + -6)(x + 8)

Reorder the terms:
48 + -14x + x2 = (x + -6)(x + 8)

Reorder the terms:
48 + -14x + x2 = (-6 + x)(x + 8)

Reorder the terms:
48 + -14x + x2 = (-6 + x)(8 + x)

Multiply (-6 + x) * (8 + x)
48 + -14x + x2 = (-6(8 + x) + x(8 + x))
48 + -14x + x2 = ((8 * -6 + x * -6) + x(8 + x))
48 + -14x + x2 = ((-48 + -6x) + x(8 + x))
48 + -14x + x2 = (-48 + -6x + (8 * x + x * x))
48 + -14x + x2 = (-48 + -6x + (8x + x2))

Combine like terms: -6x + 8x = 2x
48 + -14x + x2 = (-48 + 2x + x2)

Add '-1x2' to each side of the equation.
48 + -14x + x2 + -1x2 = -48 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
48 + -14x + 0 = -48 + 2x + x2 + -1x2
48 + -14x = -48 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
48 + -14x = -48 + 2x + 0
48 + -14x = -48 + 2x

Solving
48 + -14x = -48 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
48 + -14x + -2x = -48 + 2x + -2x

Combine like terms: -14x + -2x = -16x
48 + -16x = -48 + 2x + -2x

Combine like terms: 2x + -2x = 0
48 + -16x = -48 + 0
48 + -16x = -48

Add '-48' to each side of the equation.
48 + -48 + -16x = -48 + -48

Combine like terms: 48 + -48 = 0
0 + -16x = -48 + -48
-16x = -48 + -48

Combine like terms: -48 + -48 = -96
-16x = -96

Divide each side by '-16'.
x = 6

Simplifying
x = 6

See similar equations:

| 4x+2=2(x-1)+5 | | 7x^4-20x^2-3= | | 77x^2-109x+24= | | x(x+12)=(x+6) | | 12x^2-28x-5= | | 3log(x)=3 | | 270=2x+2(30+6x) | | x+6x=1309 | | y^2-15y+10x+24=0 | | x^2-6x-115=0 | | 15x+40=8y-9 | | 9-6x=3x-1 | | y^2-15*y+10*x+24=0 | | 3(4+4x)=8x+12 | | 5x^2+49x+72= | | 0.90x+0.05(6-x)=0.10(-133) | | 3(2y-4)+2y=7y-11 | | -4x-10x=98 | | 3/5h-2/5h+9=6 | | 8x^2+30+7= | | 56-8=0 | | 18x-(8x-7)=37 | | (2z+5)(8+z)=0 | | 4(5z+1)-9=95 | | 2(x+6)+(x+2)(x-2)=x+8 | | -6n-2m=16 | | 3v(v+5)(v-9)=0 | | (X+5)*(x+5)-25=x*x | | (x*x+9-6x)-(4x-12)(x+13)=0 | | x*2=3*7 | | 15-10x+7=4-6x+9 | | -2[4-(3b+5)]=7-5(3b+9) |

Equations solver categories