x^2=(6-x)*(8-x)

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


Simplifying
x2 = (6 + -1x)(8 + -1x)

Multiply (6 + -1x) * (8 + -1x)
x2 = (6(8 + -1x) + -1x * (8 + -1x))
x2 = ((8 * 6 + -1x * 6) + -1x * (8 + -1x))
x2 = ((48 + -6x) + -1x * (8 + -1x))
x2 = (48 + -6x + (8 * -1x + -1x * -1x))
x2 = (48 + -6x + (-8x + 1x2))

Combine like terms: -6x + -8x = -14x
x2 = (48 + -14x + 1x2)

Solving
x2 = 48 + -14x + 1x2

Solving for variable 'x'.

Reorder the terms:
-48 + 14x + x2 + -1x2 = 48 + -14x + 1x2 + -48 + 14x + -1x2

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

Reorder the terms:
-48 + 14x = 48 + -48 + -14x + 14x + 1x2 + -1x2

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

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 7x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-24 + 7x)' equal to zero and attempt to solve:

Simplifying
-24 + 7x = 0

Solving
-24 + 7x = 0

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

Add '24' to each side of the equation.
-24 + 24 + 7x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 7x = 0 + 24
7x = 0 + 24

Combine like terms: 0 + 24 = 24
7x = 24

Divide each side by '7'.
x = 3.428571429

Simplifying
x = 3.428571429
Solution
x = {3.428571429}

See similar equations:

| y=x^5ln(3x+2) | | 3(2x-3)=13-(3x-5) | | 4x+8=-25+7x | | -16+10r+12k-5r-2k-28= | | 3x-2+x+8=0.50(9x+7-x+5) | | x+9+5=180 | | 11x-227=2x-11 | | (.10)(x)(4.50)=9500 | | 9(x+12)=24x+18 | | 2x+8+9+5+x=180 | | 2x+9+x=18 | | 6x+23=15x-22 | | 3x-(2x+3)=-1 | | 7/10r=44 | | 6x+4.5=3x-8 | | 5n*21/4n= | | 10-(4y-8)=5-5y | | 5500(2)(4.50)=X | | -4x-8y=10 | | 324t= | | 4(7+5x)=28 | | 4t-13*22t= | | Y+25=2(X+25) | | 4(x+3)=x-18 | | y^2-xy+3x^2-5=0 | | -4x+5=18 | | X+-1=1 | | y-7/10=y-1/15 | | 9*t*16-3t= | | 9t*16-3t= | | 4x+2=3x-54 | | 2ln(3x)-ln(2)=ln(x) |

Equations solver categories