(2X-3)(2X+3)-135=0

Simple and best practice solution for (2X-3)(2X+3)-135=0 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 (2X-3)(2X+3)-135=0 equation:


Simplifying
(2X + -3)(2X + 3) + -135 = 0

Reorder the terms:
(-3 + 2X)(2X + 3) + -135 = 0

Reorder the terms:
(-3 + 2X)(3 + 2X) + -135 = 0

Multiply (-3 + 2X) * (3 + 2X)
(-3(3 + 2X) + 2X * (3 + 2X)) + -135 = 0
((3 * -3 + 2X * -3) + 2X * (3 + 2X)) + -135 = 0
((-9 + -6X) + 2X * (3 + 2X)) + -135 = 0
(-9 + -6X + (3 * 2X + 2X * 2X)) + -135 = 0
(-9 + -6X + (6X + 4X2)) + -135 = 0

Combine like terms: -6X + 6X = 0
(-9 + 0 + 4X2) + -135 = 0
(-9 + 4X2) + -135 = 0

Reorder the terms:
-9 + -135 + 4X2 = 0

Combine like terms: -9 + -135 = -144
-144 + 4X2 = 0

Solving
-144 + 4X2 = 0

Solving for variable 'X'.

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

Add '144' to each side of the equation.
-144 + 144 + 4X2 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + 4X2 = 0 + 144
4X2 = 0 + 144

Combine like terms: 0 + 144 = 144
4X2 = 144

Divide each side by '4'.
X2 = 36

Simplifying
X2 = 36

Take the square root of each side:
X = {-6, 6}

See similar equations:

| ln(6x-5)=3 | | 3(z-7)=3+4z | | 55= | | 3-(R+1)=-2 | | 2x^4-6x^2-4=0 | | 5-(2x-7)=(9-4x)+6 | | -13x=-52 | | x+45=100 | | 3*2+x=12+x | | 7x+6+2+7=3x+5+9x | | 2x^4-6x-4=0 | | 0.034= | | x=9+2x | | 3x^2+33x+90= | | -32+(-8)= | | 5z-1=7z-3z | | a-0.56a=8.92 | | (5u-4)(7-u)=0 | | In(6x-5)=3 | | 5s-2b=3 | | y+7=-9 | | 4z+3z=6z-8 | | -6y+2=-7y+9 | | A=0.5(d-7550)+755 | | 13y+5y^2=6 | | 3(x+5)+7=5x-4(2x+12)+5 | | 4(2x+5)=10-2(x-5) | | 2x-12x+16=0 | | -3(x+1)+7=4(x+1)-7 | | 3=9-y | | (1-0.4)2= | | 4(t-6)+8t=4(3t+3)-9 |

Equations solver categories