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

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


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

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

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

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

Combine like terms: 1x + 1x = 2x
4(1 + 2x + x2) = 2(x + 1)(2x + -3)
(1 * 4 + 2x * 4 + x2 * 4) = 2(x + 1)(2x + -3)
(4 + 8x + 4x2) = 2(x + 1)(2x + -3)

Reorder the terms:
4 + 8x + 4x2 = 2(1 + x)(2x + -3)

Reorder the terms:
4 + 8x + 4x2 = 2(1 + x)(-3 + 2x)

Multiply (1 + x) * (-3 + 2x)
4 + 8x + 4x2 = 2(1(-3 + 2x) + x(-3 + 2x))
4 + 8x + 4x2 = 2((-3 * 1 + 2x * 1) + x(-3 + 2x))
4 + 8x + 4x2 = 2((-3 + 2x) + x(-3 + 2x))
4 + 8x + 4x2 = 2(-3 + 2x + (-3 * x + 2x * x))
4 + 8x + 4x2 = 2(-3 + 2x + (-3x + 2x2))

Combine like terms: 2x + -3x = -1x
4 + 8x + 4x2 = 2(-3 + -1x + 2x2)
4 + 8x + 4x2 = (-3 * 2 + -1x * 2 + 2x2 * 2)
4 + 8x + 4x2 = (-6 + -2x + 4x2)

Add '-4x2' to each side of the equation.
4 + 8x + 4x2 + -4x2 = -6 + -2x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
4 + 8x + 0 = -6 + -2x + 4x2 + -4x2
4 + 8x = -6 + -2x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
4 + 8x = -6 + -2x + 0
4 + 8x = -6 + -2x

Solving
4 + 8x = -6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
4 + 8x + 2x = -6 + -2x + 2x

Combine like terms: 8x + 2x = 10x
4 + 10x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 10x = -6 + 0
4 + 10x = -6

Add '-4' to each side of the equation.
4 + -4 + 10x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + 10x = -6 + -4
10x = -6 + -4

Combine like terms: -6 + -4 = -10
10x = -10

Divide each side by '10'.
x = -1

Simplifying
x = -1

See similar equations:

| (m-2)+(m-5)+(m-7)+2+6+5+7=m | | 3xsquare-5x+2=0 | | 2z^2-3=-z-2 | | Log(3)(3x-4)=2 | | 9cosx+6sinx=10 | | 2h=4.5 | | x/6=13/24 | | 3*x^2+4*x=5*(2*x+9) | | 9x*x-4x=2x-1 | | -b(4)+6(4)= | | -b+6y= | | 2x+2-2x-3=62 | | 3Y-2(Y+4)=Y+3 | | 20-15m=12-15m | | 4x*x-2x=6(2x-1) | | 0=3.6t^2-134t-750 | | 8y-6=5y+9 | | 3cosineT+0.5=0 | | 4x-15=x+9 | | 3cosT+0.5=0 | | 15xwhat=135 | | (2x+1)(2x+1)=4x*x-1 | | 20x+10xy-5y=2 | | 2/-18=18 | | 5x^2-121=0 | | 2x-ln(x^2)=0 | | 27=g/-32 | | 4x+21=0 | | 2(3x+5)=-2x+42 | | 37x-2x^2=100 | | S+7=-12 | | 6x=2y+10 |

Equations solver categories