(2x-1)(2x-1)-(3x+2)(2x-1)=0

Simple and best practice solution for (2x-1)(2x-1)-(3x+2)(2x-1)=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-1)(2x-1)-(3x+2)(2x-1)=0 equation:


Simplifying
(2x + -1)(2x + -1) + -1(3x + 2)(2x + -1) = 0

Reorder the terms:
(-1 + 2x)(2x + -1) + -1(3x + 2)(2x + -1) = 0

Reorder the terms:
(-1 + 2x)(-1 + 2x) + -1(3x + 2)(2x + -1) = 0

Multiply (-1 + 2x) * (-1 + 2x)
(-1(-1 + 2x) + 2x * (-1 + 2x)) + -1(3x + 2)(2x + -1) = 0
((-1 * -1 + 2x * -1) + 2x * (-1 + 2x)) + -1(3x + 2)(2x + -1) = 0
((1 + -2x) + 2x * (-1 + 2x)) + -1(3x + 2)(2x + -1) = 0
(1 + -2x + (-1 * 2x + 2x * 2x)) + -1(3x + 2)(2x + -1) = 0
(1 + -2x + (-2x + 4x2)) + -1(3x + 2)(2x + -1) = 0

Combine like terms: -2x + -2x = -4x
(1 + -4x + 4x2) + -1(3x + 2)(2x + -1) = 0

Reorder the terms:
1 + -4x + 4x2 + -1(2 + 3x)(2x + -1) = 0

Reorder the terms:
1 + -4x + 4x2 + -1(2 + 3x)(-1 + 2x) = 0

Multiply (2 + 3x) * (-1 + 2x)
1 + -4x + 4x2 + -1(2(-1 + 2x) + 3x * (-1 + 2x)) = 0
1 + -4x + 4x2 + -1((-1 * 2 + 2x * 2) + 3x * (-1 + 2x)) = 0
1 + -4x + 4x2 + -1((-2 + 4x) + 3x * (-1 + 2x)) = 0
1 + -4x + 4x2 + -1(-2 + 4x + (-1 * 3x + 2x * 3x)) = 0
1 + -4x + 4x2 + -1(-2 + 4x + (-3x + 6x2)) = 0

Combine like terms: 4x + -3x = 1x
1 + -4x + 4x2 + -1(-2 + 1x + 6x2) = 0
1 + -4x + 4x2 + (-2 * -1 + 1x * -1 + 6x2 * -1) = 0
1 + -4x + 4x2 + (2 + -1x + -6x2) = 0

Reorder the terms:
1 + 2 + -4x + -1x + 4x2 + -6x2 = 0

Combine like terms: 1 + 2 = 3
3 + -4x + -1x + 4x2 + -6x2 = 0

Combine like terms: -4x + -1x = -5x
3 + -5x + 4x2 + -6x2 = 0

Combine like terms: 4x2 + -6x2 = -2x2
3 + -5x + -2x2 = 0

Solving
3 + -5x + -2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -2x)(3 + x) = 0


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

Simplifying
3 + x = 0

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

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

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

Simplifying
x = -3
Solution
x = {0.5, -3}

See similar equations:

| 3x-56=-14 | | -c/2=-5 | | -6=5x+29 | | 5n-3=3n+5 | | 2a=80-8a | | 1/2+x=8 | | 81-x^2-25=0 | | 89+y=2-2y | | 85(2)-0.05(85)(2)=x | | 6-8x=5x-5x-10+9 | | 6n-6=3n+6 | | 85(2.95)-0.05(85)(2.95)=x | | 5g-2=g | | 6*8-4[7(8-3)]= | | 85(3.95)-0.05(85)(3.95)=x | | 3(4+4y)-12y=-12 | | r+15=4-6 | | 2.5j=3(j-4) | | 85(11)-0.05(85)(11)=x | | 15=.30x | | 6-6x=5x-9x+10 | | -(3x+2)(x-4)=0 | | 5*x+16=3*x+55 | | -12=b/4 | | 23423423+2423+2342352+23423423= | | 150-15/y=135 | | 2(12-2x)-2x=32 | | 6-6x=7x-10x-9 | | 7-a=2 | | -j-2=12 | | 9x-90=-5x+78 | | 100*37*dT= |

Equations solver categories