135=(2x+3)(2x-3)

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


Simplifying
135 = (2x + 3)(2x + -3)

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

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

Multiply (3 + 2x) * (-3 + 2x)
135 = (3(-3 + 2x) + 2x * (-3 + 2x))
135 = ((-3 * 3 + 2x * 3) + 2x * (-3 + 2x))
135 = ((-9 + 6x) + 2x * (-3 + 2x))
135 = (-9 + 6x + (-3 * 2x + 2x * 2x))
135 = (-9 + 6x + (-6x + 4x2))

Combine like terms: 6x + -6x = 0
135 = (-9 + 0 + 4x2)
135 = (-9 + 4x2)

Solving
135 = -9 + 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
135 + -4x2 = -9 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
135 + -4x2 = -9 + 0
135 + -4x2 = -9

Add '-135' to each side of the equation.
135 + -135 + -4x2 = -9 + -135

Combine like terms: 135 + -135 = 0
0 + -4x2 = -9 + -135
-4x2 = -9 + -135

Combine like terms: -9 + -135 = -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:

| 10x=7x-18 | | 10=7x(x-18) | | 10=7x-18 | | x+3=m | | e^6-8x=1674 | | 10=7x(7x-18) | | 6x+8=x+5 | | 11-2x=-2 | | 6x+8=5+x | | 3(x-b)=4b+ax | | 6300-6B+6B=6300 | | -2x=76 | | (6x)+(2y)+(3x+18)=360 | | 5x+13=67 | | 2y-22=58 | | 4y=1/7 | | 2x+1=5x-74 | | 5y^4(4y+1)(y-5)= | | 6x*x-29=42 | | 5x^2+14x= | | 2b-7=7b+11 | | 6b+4a=6300 | | (2x-3)/(4)=(2x-5)/(6) | | 11m-13m=14 | | -5(v+2)+3v+6=8v+8 | | 4A+6B=6300 | | -5m-17=3 | | 6t=-100 | | 12-9x-12-30x= | | 3x(3)-2x+1=0 | | y^2-x^3=2x^2+3y^2-5 | | Y=-16x^2-72 |

Equations solver categories