(11x+7)(11x-7)=121x-49

Simple and best practice solution for (11x+7)(11x-7)=121x-49 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 (11x+7)(11x-7)=121x-49 equation: 


Simplifying
(11x + 7)(11x + -7) = 121x + -49

Reorder the terms:
(7 + 11x)(11x + -7) = 121x + -49

Reorder the terms:
(7 + 11x)(-7 + 11x) = 121x + -49

Multiply (7 + 11x) * (-7 + 11x)
(7(-7 + 11x) + 11x * (-7 + 11x)) = 121x + -49
((-7 * 7 + 11x * 7) + 11x * (-7 + 11x)) = 121x + -49
((-49 + 77x) + 11x * (-7 + 11x)) = 121x + -49
(-49 + 77x + (-7 * 11x + 11x * 11x)) = 121x + -49
(-49 + 77x + (-77x + 121x2)) = 121x + -49

Combine like terms: 77x + -77x = 0
(-49 + 0 + 121x2) = 121x + -49
(-49 + 121x2) = 121x + -49

Reorder the terms:
-49 + 121x2 = -49 + 121x

Add '49' to each side of the equation.
-49 + 49 + 121x2 = -49 + 49 + 121x

Combine like terms: -49 + 49 = 0
0 + 121x2 = -49 + 49 + 121x
121x2 = -49 + 49 + 121x

Combine like terms: -49 + 49 = 0
121x2 = 0 + 121x
121x2 = 121x

Solving
121x2 = 121x

Solving for variable 'x'.

Reorder the terms:
-121x + 121x2 = 121x + -121x

Combine like terms: 121x + -121x = 0
-121x + 121x2 = 0

Factor out the Greatest Common Factor (GCF), '121x'.
121x(-1 + x) = 0

Ignore the factor 121.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

Add '1' to each side of the equation.
-1 + 1 + x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + x = 0 + 1
x = 0 + 1

Combine like terms: 0 + 1 = 1
x = 1

Simplifying
x = 1
Solution
x = {0, 1}

See similar equations:

| 3x-2=2x+9 | | 2x+20=200 | | 2.5=7.9-0.9x | | 8(x-11)=16 | | 1+8=56 | | +5y=9 | | 2x+6x-9=39 | | -(3b-5)=6(2b+5) | | -7y=-2 | | z/24=3/2 | | 2x+6x+-9=39 | | -11y=-12 | | 6d-3d-d+2-5d=0 | | 20+11x=7(x+12) | | 3m-6=-5m+7-m | | 2(b-8)=12 | | 3g+3(-6+3g)=1-g | | -8(5v+3)=5v-5 | | 5(10x+10)=-5(-4x+4) | | 2(x^2-5)+3=4x^2+93 | | 16-(x+48)=(5-44) | | 2x+5=7y | | 3(3-2x)+x=x-5(x+2) | | -12+39=-4h-17 | | 9p-36=5p+8 | | 8x+12=3x+44 | | 0.5s=0 | | ln(x+8)-2ln(x+2)=0 | | 2(x-2)-(2x+4)=2x | | 0.3s=1 | | 7x+9=2x+20 | | 55x= |

Equations solver categories