(x+7)(x-7)=4x+(x-9)(x+9)

Simple and best practice solution for (x+7)(x-7)=4x+(x-9)(x+9) 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+7)(x-7)=4x+(x-9)(x+9) equation:


Simplifying
(x + 7)(x + -7) = 4x + (x + -9)(x + 9)

Reorder the terms:
(7 + x)(x + -7) = 4x + (x + -9)(x + 9)

Reorder the terms:
(7 + x)(-7 + x) = 4x + (x + -9)(x + 9)

Multiply (7 + x) * (-7 + x)
(7(-7 + x) + x(-7 + x)) = 4x + (x + -9)(x + 9)
((-7 * 7 + x * 7) + x(-7 + x)) = 4x + (x + -9)(x + 9)
((-49 + 7x) + x(-7 + x)) = 4x + (x + -9)(x + 9)
(-49 + 7x + (-7 * x + x * x)) = 4x + (x + -9)(x + 9)
(-49 + 7x + (-7x + x2)) = 4x + (x + -9)(x + 9)

Combine like terms: 7x + -7x = 0
(-49 + 0 + x2) = 4x + (x + -9)(x + 9)
(-49 + x2) = 4x + (x + -9)(x + 9)

Reorder the terms:
-49 + x2 = 4x + (-9 + x)(x + 9)

Reorder the terms:
-49 + x2 = 4x + (-9 + x)(9 + x)

Multiply (-9 + x) * (9 + x)
-49 + x2 = 4x + (-9(9 + x) + x(9 + x))
-49 + x2 = 4x + ((9 * -9 + x * -9) + x(9 + x))
-49 + x2 = 4x + ((-81 + -9x) + x(9 + x))
-49 + x2 = 4x + (-81 + -9x + (9 * x + x * x))
-49 + x2 = 4x + (-81 + -9x + (9x + x2))

Combine like terms: -9x + 9x = 0
-49 + x2 = 4x + (-81 + 0 + x2)
-49 + x2 = 4x + (-81 + x2)

Reorder the terms:
-49 + x2 = -81 + 4x + x2

Add '-1x2' to each side of the equation.
-49 + x2 + -1x2 = -81 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-49 + 0 = -81 + 4x + x2 + -1x2
-49 = -81 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-49 = -81 + 4x + 0
-49 = -81 + 4x

Solving
-49 = -81 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-49 + -4x = -81 + 4x + -4x

Combine like terms: 4x + -4x = 0
-49 + -4x = -81 + 0
-49 + -4x = -81

Add '49' to each side of the equation.
-49 + 49 + -4x = -81 + 49

Combine like terms: -49 + 49 = 0
0 + -4x = -81 + 49
-4x = -81 + 49

Combine like terms: -81 + 49 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

See similar equations:

| (2x+7)(4x-9)=8x(x+4)-9 | | 9(x+6)=4(x-7) | | (x-9)2=(x+8)2 | | 0.8x^2+0.8x+5=0 | | 3x(x+5)-14=x(3x-2)+5 | | 25m^2-45m+20=0 | | 8d=12 | | 4s=6 | | 5x-8=9x+12 | | 10a=15 | | 8a^2+14a+3=0 | | 12x-16=20x | | 3(2x+21)=7x+17 | | 2+x+8= | | 3x-15=6x+9 | | 2(3x-4)+6=28 | | -8x+9x=17 | | 11=5(2)x+b | | 15-2b-b=0 | | 14=2*4+b | | 6(x+2)-2x= | | 5x=4x+40 | | 3x+6=4+2x-6 | | 6x-8=2x+20 | | x^5+x+2=0 | | x^4-x^3+x^2-x+2=0 | | x^2+1200x=360000 | | 3(5)-2(-8)=31 | | 4x-1=3x-1+5 | | 11-4x=7x | | 56x-32x-119=361 | | -3x-8=-7-5x |

Equations solver categories