(5x-3)(5x-3)=36

Simple and best practice solution for (5x-3)(5x-3)=36 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 (5x-3)(5x-3)=36 equation: 


Simplifying
(5x + -3)(5x + -3) = 36

Reorder the terms:
(-3 + 5x)(5x + -3) = 36

Reorder the terms:
(-3 + 5x)(-3 + 5x) = 36

Multiply (-3 + 5x) * (-3 + 5x)
(-3(-3 + 5x) + 5x * (-3 + 5x)) = 36
((-3 * -3 + 5x * -3) + 5x * (-3 + 5x)) = 36
((9 + -15x) + 5x * (-3 + 5x)) = 36
(9 + -15x + (-3 * 5x + 5x * 5x)) = 36
(9 + -15x + (-15x + 25x2)) = 36

Combine like terms: -15x + -15x = -30x
(9 + -30x + 25x2) = 36

Solving
9 + -30x + 25x2 = 36

Solving for variable 'x'.

Reorder the terms:
9 + -36 + -30x + 25x2 = 36 + -36

Combine like terms: 9 + -36 = -27
-27 + -30x + 25x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-27 + -30x + 25x2 = 0

Factor a trinomial.
(-3 + -5x)(9 + -5x) = 0


Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve:

Simplifying
-3 + -5x = 0

Solving
-3 + -5x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -5x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 0 + 3
-5x = 0 + 3

Combine like terms: 0 + 3 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve:

Simplifying
9 + -5x = 0

Solving
9 + -5x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = 0 + -9
-5x = 0 + -9

Combine like terms: 0 + -9 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8
Solution
x = {-0.6, 1.8}

See similar equations:

| 2(x+4)=50 | | F(x)=46 | | 10-2x=4x+3(2x-1)+1 | | 8(x+6)=4(x+17) | | 30000=x-(.35x) | | x=-0.1y+0.36z | | .33(12z+6)-(z-9)= | | -8=x/12 | | f(x)=9/ln(x) | | -4+5=-3-3v | | 25x+50=100 | | z^4=16-16i | | 3a+10=1a-6 | | 40X+4Y=920 | | ((5-4x)dx)/(12x-4¨-8) | | 10(z+1)-4(z-1)=3(z-2)+2(z-3) | | F(-5)=4-6x | | 18x^2+3x-90=3x+8 | | .33(12m+6)-(m+8)= | | 2x^6-18x^5+6x^4=0 | | 4x+2x=12-36 | | 7/9t=56 | | 25x^0= | | 14x-21/7 | | 25x^1= | | 3x^2-x-24=x(2x-3) | | 2(2x+1)-3=5x+8 | | 6x+32=3x-24 | | 2(5m+2)-4(4m-8)-9m= | | 5(x-2)=60-5x | | 2/1=(8x-2)/9 | | 5(y*7)=7(3*5) |

Equations solver categories