(X-2)(x-7)=(x+7)(x+8)

Simple and best practice solution for (X-2)(x-7)=(x+7)(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)(x-7)=(x+7)(x+8) equation: 


Simplifying
(X + -2)(x + -7) = (x + 7)(x + 8)

Reorder the terms:
(-2 + X)(x + -7) = (x + 7)(x + 8)

Reorder the terms:
(-2 + X)(-7 + x) = (x + 7)(x + 8)

Multiply (-2 + X) * (-7 + x)
(-2(-7 + x) + X(-7 + x)) = (x + 7)(x + 8)
((-7 * -2 + x * -2) + X(-7 + x)) = (x + 7)(x + 8)
((14 + -2x) + X(-7 + x)) = (x + 7)(x + 8)
(14 + -2x + (-7 * X + x * X)) = (x + 7)(x + 8)
(14 + -2x + (-7X + xX)) = (x + 7)(x + 8)

Reorder the terms:
(14 + -7X + -2x + xX) = (x + 7)(x + 8)
(14 + -7X + -2x + xX) = (x + 7)(x + 8)

Reorder the terms:
14 + -7X + -2x + xX = (7 + x)(x + 8)

Reorder the terms:
14 + -7X + -2x + xX = (7 + x)(8 + x)

Multiply (7 + x) * (8 + x)
14 + -7X + -2x + xX = (7(8 + x) + x(8 + x))
14 + -7X + -2x + xX = ((8 * 7 + x * 7) + x(8 + x))
14 + -7X + -2x + xX = ((56 + 7x) + x(8 + x))
14 + -7X + -2x + xX = (56 + 7x + (8 * x + x * x))
14 + -7X + -2x + xX = (56 + 7x + (8x + x2))

Combine like terms: 7x + 8x = 15x
14 + -7X + -2x + xX = (56 + 15x + x2)

Solving
14 + -7X + -2x + xX = 56 + 15x + x2

Solving for variable 'X'.

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

Add '-14' to each side of the equation.
14 + -7X + -2x + -14 + xX = 56 + 15x + -14 + x2

Reorder the terms:
14 + -14 + -7X + -2x + xX = 56 + 15x + -14 + x2

Combine like terms: 14 + -14 = 0
0 + -7X + -2x + xX = 56 + 15x + -14 + x2
-7X + -2x + xX = 56 + 15x + -14 + x2

Reorder the terms:
-7X + -2x + xX = 56 + -14 + 15x + x2

Combine like terms: 56 + -14 = 42
-7X + -2x + xX = 42 + 15x + x2

Add '2x' to each side of the equation.
-7X + -2x + 2x + xX = 42 + 15x + 2x + x2

Combine like terms: -2x + 2x = 0
-7X + 0 + xX = 42 + 15x + 2x + x2
-7X + xX = 42 + 15x + 2x + x2

Combine like terms: 15x + 2x = 17x
-7X + xX = 42 + 17x + x2

Reorder the terms:
-42 + -7X + -17x + xX + -1x2 = 42 + 17x + x2 + -42 + -17x + -1x2

Reorder the terms:
-42 + -7X + -17x + xX + -1x2 = 42 + -42 + 17x + -17x + x2 + -1x2

Combine like terms: 42 + -42 = 0
-42 + -7X + -17x + xX + -1x2 = 0 + 17x + -17x + x2 + -1x2
-42 + -7X + -17x + xX + -1x2 = 17x + -17x + x2 + -1x2

Combine like terms: 17x + -17x = 0
-42 + -7X + -17x + xX + -1x2 = 0 + x2 + -1x2
-42 + -7X + -17x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-42 + -7X + -17x + xX + -1x2 = 0

The solution to this equation could not be determined.

See similar equations:

| 3+-3=-30 | | 4/5*x= | | 61=-3+8X | | -(7m+7)=-21 | | -9X+0=45 | | 10=u/12 | | 5b+30=8b | | (-6v^2+8v+9)-(9v^2+12v-4)= | | X(4x-2)=(4x+1)(x-2) | | -9X+7=-47 | | (4x-1)h-(4x-1)= | | 21.3x+1.6=47.6-1.7x | | (2r-3)-(-6r+7)= | | 6(x-7)-4(x+3)=-1 | | xsquared+4x+1=0 | | (x^3y^2)^5*(xy^5)^-2/x^3y^5 | | m/n=y/x | | 9a-2=16+3a | | 3a+-7a+12=32 | | gf=k | | f(x)=8x+18 | | (10m+14)=(3m+11) | | y=xa | | 3a-7a+1=32 | | -7x=49, | | (4v^2+12p^2+9)+(6v^2-6p^2-6)= | | -4x/1=5/6-5x/6 | | -9u-42=-6(u+6) | | -9x=9, | | X^2=600+76 | | 7x^2=5-8x | | xa=y |

Equations solver categories