(14x+10)(14x-10)=196x-100

Simple and best practice solution for (14x+10)(14x-10)=196x-100 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 (14x+10)(14x-10)=196x-100 equation: 


Simplifying
(14x + 10)(14x + -10) = 196x + -100

Reorder the terms:
(10 + 14x)(14x + -10) = 196x + -100

Reorder the terms:
(10 + 14x)(-10 + 14x) = 196x + -100

Multiply (10 + 14x) * (-10 + 14x)
(10(-10 + 14x) + 14x * (-10 + 14x)) = 196x + -100
((-10 * 10 + 14x * 10) + 14x * (-10 + 14x)) = 196x + -100
((-100 + 140x) + 14x * (-10 + 14x)) = 196x + -100
(-100 + 140x + (-10 * 14x + 14x * 14x)) = 196x + -100
(-100 + 140x + (-140x + 196x2)) = 196x + -100

Combine like terms: 140x + -140x = 0
(-100 + 0 + 196x2) = 196x + -100
(-100 + 196x2) = 196x + -100

Reorder the terms:
-100 + 196x2 = -100 + 196x

Add '100' to each side of the equation.
-100 + 100 + 196x2 = -100 + 100 + 196x

Combine like terms: -100 + 100 = 0
0 + 196x2 = -100 + 100 + 196x
196x2 = -100 + 100 + 196x

Combine like terms: -100 + 100 = 0
196x2 = 0 + 196x
196x2 = 196x

Solving
196x2 = 196x

Solving for variable 'x'.

Reorder the terms:
-196x + 196x2 = 196x + -196x

Combine like terms: 196x + -196x = 0
-196x + 196x2 = 0

Factor out the Greatest Common Factor (GCF), '196x'.
196x(-1 + x) = 0

Ignore the factor 196.

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:

| 118-5x=4x+19 | | -x^2+13x-42=0 | | -8+12e=-20+8 | | 3x+75=180 | | 3ab-2bc=12solvec | | .05(.3m+35n)-.8(-.09n-22m)=0 | | y-4=4 | | a^2-10a+21=0 | | 18x-2=18x-3 | | 13x+91-6x=39x-3-2x | | (4y*3)*2= | | -4x-4(5x+13)=188 | | 6a-2a+1=5(3a-2) | | 7(3-x)+5x-8=11 | | (x*2)*3= | | 6(n+3)=60 | | (4h*3)*2(-2*3h)*3= | | 6(n+3)=6 | | 4t+7=3-2rt | | 0.5(x+4)+2x+5= | | 6x+22=14x+42 | | 45x=6x+8-186 | | 2(x-3)-(x+2)=5 | | 3(3+2)+3-2+4(3+2)= | | =-2(x+2) | | 0.6*x+2=16 | | 2y+2=10 | | 0.6x+2=16 | | =x-0.32x | | x-2-2.3=-1.2 | | 7-3(2y-1)=3y-1 | | 3(m+5)-6=(m+3) |

Equations solver categories