(x-6)(x-3)=(x-7)(x-7)

Simple and best practice solution for (x-6)(x-3)=(x-7)(x-7) 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-6)(x-3)=(x-7)(x-7) equation:


Simplifying
(x + -6)(x + -3) = (x + -7)(x + -7)

Reorder the terms:
(-6 + x)(x + -3) = (x + -7)(x + -7)

Reorder the terms:
(-6 + x)(-3 + x) = (x + -7)(x + -7)

Multiply (-6 + x) * (-3 + x)
(-6(-3 + x) + x(-3 + x)) = (x + -7)(x + -7)
((-3 * -6 + x * -6) + x(-3 + x)) = (x + -7)(x + -7)
((18 + -6x) + x(-3 + x)) = (x + -7)(x + -7)
(18 + -6x + (-3 * x + x * x)) = (x + -7)(x + -7)
(18 + -6x + (-3x + x2)) = (x + -7)(x + -7)

Combine like terms: -6x + -3x = -9x
(18 + -9x + x2) = (x + -7)(x + -7)

Reorder the terms:
18 + -9x + x2 = (-7 + x)(x + -7)

Reorder the terms:
18 + -9x + x2 = (-7 + x)(-7 + x)

Multiply (-7 + x) * (-7 + x)
18 + -9x + x2 = (-7(-7 + x) + x(-7 + x))
18 + -9x + x2 = ((-7 * -7 + x * -7) + x(-7 + x))
18 + -9x + x2 = ((49 + -7x) + x(-7 + x))
18 + -9x + x2 = (49 + -7x + (-7 * x + x * x))
18 + -9x + x2 = (49 + -7x + (-7x + x2))

Combine like terms: -7x + -7x = -14x
18 + -9x + x2 = (49 + -14x + x2)

Add '-1x2' to each side of the equation.
18 + -9x + x2 + -1x2 = 49 + -14x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
18 + -9x + 0 = 49 + -14x + x2 + -1x2
18 + -9x = 49 + -14x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
18 + -9x = 49 + -14x + 0
18 + -9x = 49 + -14x

Solving
18 + -9x = 49 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
18 + -9x + 14x = 49 + -14x + 14x

Combine like terms: -9x + 14x = 5x
18 + 5x = 49 + -14x + 14x

Combine like terms: -14x + 14x = 0
18 + 5x = 49 + 0
18 + 5x = 49

Add '-18' to each side of the equation.
18 + -18 + 5x = 49 + -18

Combine like terms: 18 + -18 = 0
0 + 5x = 49 + -18
5x = 49 + -18

Combine like terms: 49 + -18 = 31
5x = 31

Divide each side by '5'.
x = 6.2

Simplifying
x = 6.2

See similar equations:

| 4x+3y-2=25 | | x^2+7x+7x+49=10 | | 5x+y+.25z=100 | | 21-2n=3(n-10) | | 9-3m=2(m+4) | | 4(t+2)=2t-6 | | 2(5+k)=7k-5 | | 8u-6=6(u-2) | | 5(r-8)=16-r | | 7h-5=5h+2 | | 6g+1=5g+8 | | 8c-4=7c+1 | | 11e-6=5e+9 | | 8a-3=6a+7 | | 7d-3=3d+7 | | 7b-4=5b+6 | | 18=12f+1 | | 2(4x-3)-(-3)(-4x)=6 | | 25g+5=42.5 | | 8d+6=5d+12 | | 9(x-3)=19.8 | | 2(a+7)=24.8 | | -5=4c-9 | | 5e-6=-2.5 | | 4p=12.8 | | 4(a+9)=72 | | 9e-9=45 | | 6x-9=-5x-4 | | 12+9x=138 | | 32=8x-16 | | 14+8x=134 | | 9+8x=121 |

Equations solver categories