-5(2x-3)(2x-3)=-45

Simple and best practice solution for -5(2x-3)(2x-3)=-45 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 -5(2x-3)(2x-3)=-45 equation: 


Simplifying
-5(2x + -3)(2x + -3) = -45

Reorder the terms:
-5(-3 + 2x)(2x + -3) = -45

Reorder the terms:
-5(-3 + 2x)(-3 + 2x) = -45

Multiply (-3 + 2x) * (-3 + 2x)
-5(-3(-3 + 2x) + 2x * (-3 + 2x)) = -45
-5((-3 * -3 + 2x * -3) + 2x * (-3 + 2x)) = -45
-5((9 + -6x) + 2x * (-3 + 2x)) = -45
-5(9 + -6x + (-3 * 2x + 2x * 2x)) = -45
-5(9 + -6x + (-6x + 4x2)) = -45

Combine like terms: -6x + -6x = -12x
-5(9 + -12x + 4x2) = -45
(9 * -5 + -12x * -5 + 4x2 * -5) = -45
(-45 + 60x + -20x2) = -45

Add '45' to each side of the equation.
-45 + 60x + 45 + -20x2 = -45 + 45

Reorder the terms:
-45 + 45 + 60x + -20x2 = -45 + 45

Combine like terms: -45 + 45 = 0
0 + 60x + -20x2 = -45 + 45
60x + -20x2 = -45 + 45

Combine like terms: -45 + 45 = 0
60x + -20x2 = 0

Solving
60x + -20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20x'.
20x(3 + -1x) = 0

Ignore the factor 20.

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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0, 3}

See similar equations:

| 2x*4+32=15x | | 2x+2y+x=0 | | 2*3.14*r^2+2*3.14*r*242.4=27346.6368 | | 7=10-m | | 3(-2)-y=10 | | 5x+12=5x-17 | | 5x+12=-3x-17 | | 7(z-12)=21 | | 5/(-5) | | 25=2c+9 | | 7x+z=0 | | 91=2y+y | | -49+-49p-8=280 | | -6v-8=-8+6v | | 0.9x-1.1=5 | | 13+a=6+48a-40 | | 4=14-t | | 5(x+9)=-75 | | y=120x+500 | | 8z-8-11z=3z-6 | | 2(x+3)=2(x+13) | | 3=7-2s | | qd=20-2p | | x/3-7=5/6 | | 1+2+3x-5x+10x=0 | | -48+-48p-8=280 | | 29=6d+11 | | X=e^9.8/e^7.6 | | 2.5x+0.5(x-1)=12.5 | | 0.25x+9=4 | | 24-(4x+2)=30 | | z-30=-28 |

Equations solver categories