(2x-3)(2x-3)-3(2x-3)-10=0

Simple and best practice solution for (2x-3)(2x-3)-3(2x-3)-10=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)-3(2x-3)-10=0 equation: 


Simplifying
(2x + -3)(2x + -3) + -3(2x + -3) + -10 = 0

Reorder the terms:
(-3 + 2x)(2x + -3) + -3(2x + -3) + -10 = 0

Reorder the terms:
(-3 + 2x)(-3 + 2x) + -3(2x + -3) + -10 = 0

Multiply (-3 + 2x) * (-3 + 2x)
(-3(-3 + 2x) + 2x * (-3 + 2x)) + -3(2x + -3) + -10 = 0
((-3 * -3 + 2x * -3) + 2x * (-3 + 2x)) + -3(2x + -3) + -10 = 0
((9 + -6x) + 2x * (-3 + 2x)) + -3(2x + -3) + -10 = 0
(9 + -6x + (-3 * 2x + 2x * 2x)) + -3(2x + -3) + -10 = 0
(9 + -6x + (-6x + 4x2)) + -3(2x + -3) + -10 = 0

Combine like terms: -6x + -6x = -12x
(9 + -12x + 4x2) + -3(2x + -3) + -10 = 0

Reorder the terms:
9 + -12x + 4x2 + -3(-3 + 2x) + -10 = 0
9 + -12x + 4x2 + (-3 * -3 + 2x * -3) + -10 = 0
9 + -12x + 4x2 + (9 + -6x) + -10 = 0

Reorder the terms:
9 + 9 + -10 + -12x + -6x + 4x2 = 0

Combine like terms: 9 + 9 = 18
18 + -10 + -12x + -6x + 4x2 = 0

Combine like terms: 18 + -10 = 8
8 + -12x + -6x + 4x2 = 0

Combine like terms: -12x + -6x = -18x
8 + -18x + 4x2 = 0

Solving
8 + -18x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -9x + 2x2) = 0

Factor a trinomial.
2((1 + -2x)(4 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {0.5, 4}

See similar equations:

| (x-4)(x-2)=5 | | (-6)+(5)= | | (x-2)(x-2)-2(x-2)-15=0 | | 3d+4n=235 | | 50x^2+40x+8=0 | | (x-3)(x-3)-2(x-3)+1=0 | | (x+1)(x+1)=(x+2)(x+2)(x+3)(x+3) | | x-7=3.5+2x | | -6x^2=3x-3 | | -2x^2=10x | | 1/5X+2=14 | | 5x-y+8=0 | | -3.8=0.5(8n-4.6) | | (x/2)-3+x=-(x/3)+(5/2) | | 11/5(x+1-3x)=(x/3)-(2/15) | | x^2+(x+1)(x+1)=(x+2)(x+2) | | 2=(17/19)x+0 | | 1=(17/19)x+0 | | 1=(17/19)+0 | | (x+2)(x+2)=2x+3 | | 2.07=0.23 | | 2x-7/3=5-3x-2/4 | | (3-4)x=5 | | 1/16j-40=10 | | 9=(17/19)x+0 | | 97.6-2.3q=99.9 | | 17=(17/19)x+0 | | 5x-15y=120 | | 2x/1 | | 3f-15=-48 | | 243/8-1/5C=43/8 | | 17=(17/19)+0 |

Equations solver categories