(2x+1)(2x+1)=4(x-3)(x-3)

Simple and best practice solution for (2x+1)(2x+1)=4(x-3)(x-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 (2x+1)(2x+1)=4(x-3)(x-3) equation: 


Simplifying
(2x + 1)(2x + 1) = 4(x + -3)(x + -3)

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

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

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

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

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

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

Multiply (-3 + x) * (-3 + x)
1 + 4x + 4x2 = 4(-3(-3 + x) + x(-3 + x))
1 + 4x + 4x2 = 4((-3 * -3 + x * -3) + x(-3 + x))
1 + 4x + 4x2 = 4((9 + -3x) + x(-3 + x))
1 + 4x + 4x2 = 4(9 + -3x + (-3 * x + x * x))
1 + 4x + 4x2 = 4(9 + -3x + (-3x + x2))

Combine like terms: -3x + -3x = -6x
1 + 4x + 4x2 = 4(9 + -6x + x2)
1 + 4x + 4x2 = (9 * 4 + -6x * 4 + x2 * 4)
1 + 4x + 4x2 = (36 + -24x + 4x2)

Add '-4x2' to each side of the equation.
1 + 4x + 4x2 + -4x2 = 36 + -24x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
1 + 4x + 0 = 36 + -24x + 4x2 + -4x2
1 + 4x = 36 + -24x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
1 + 4x = 36 + -24x + 0
1 + 4x = 36 + -24x

Solving
1 + 4x = 36 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
1 + 4x + 24x = 36 + -24x + 24x

Combine like terms: 4x + 24x = 28x
1 + 28x = 36 + -24x + 24x

Combine like terms: -24x + 24x = 0
1 + 28x = 36 + 0
1 + 28x = 36

Add '-1' to each side of the equation.
1 + -1 + 28x = 36 + -1

Combine like terms: 1 + -1 = 0
0 + 28x = 36 + -1
28x = 36 + -1

Combine like terms: 36 + -1 = 35
28x = 35

Divide each side by '28'.
x = 1.25

Simplifying
x = 1.25

See similar equations:

| 1v-v+5=4 | | 9x-3=7-6x | | 8/6=12/x | | (8-4)2+(18-17)2= | | b-4+6b=30 | | A+n=20 | | 12+5c=15 | | 0.6y+2.5=0.8y+1.16 | | 7(x-7)-5=-54 | | 17x-9x=16 | | 50z-8y= | | 12/4(3)-5 | | 5Y+2(y-6)=4(x+1)-2 | | 10b^3(9-2b^4)= | | (3/5)^3 | | 8689463= | | -(4r-5)=6r-25 | | 10x=-36 | | 6x+6=8x+7 | | k/3-2x=4 | | -55/12=5/3x-(11/6)-4 | | 65+3y=15 | | -6t-8=10-9t | | 9(x+y)-3(x-y)= | | -2-3(4)= | | 3(y-21)+2(y-2)=28 | | (32x-28y)+7(9y-3x)= | | 242=v*4-5*16 | | 1+123=456 | | 4(2-3x)=2(3x-4) | | x+4+3=-16 | | 3m^2-14-24=0 |

Equations solver categories