4*(x+3)*(x+3)=(x+3)*(x-3)*4+3*(6x-4)

Simple and best practice solution for 4*(x+3)*(x+3)=(x+3)*(x-3)*4+3*(6x-4) 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+3)*(x+3)=(x+3)*(x-3)*4+3*(6x-4) equation: 


Simplifying
4(x + 3)(x + 3) = (x + 3)(x + -3) * 4 + 3(6x + -4)

Reorder the terms:
4(3 + x)(x + 3) = (x + 3)(x + -3) * 4 + 3(6x + -4)

Reorder the terms:
4(3 + x)(3 + x) = (x + 3)(x + -3) * 4 + 3(6x + -4)

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

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

Reorder the terms:
36 + 24x + 4x2 = (3 + x)(x + -3) * 4 + 3(6x + -4)

Reorder the terms:
36 + 24x + 4x2 = (3 + x)(-3 + x) * 4 + 3(6x + -4)

Reorder the terms for easier multiplication:
36 + 24x + 4x2 = 4(3 + x)(-3 + x) + 3(6x + -4)

Multiply (3 + x) * (-3 + x)
36 + 24x + 4x2 = 4(3(-3 + x) + x(-3 + x)) + 3(6x + -4)
36 + 24x + 4x2 = 4((-3 * 3 + x * 3) + x(-3 + x)) + 3(6x + -4)
36 + 24x + 4x2 = 4((-9 + 3x) + x(-3 + x)) + 3(6x + -4)
36 + 24x + 4x2 = 4(-9 + 3x + (-3 * x + x * x)) + 3(6x + -4)
36 + 24x + 4x2 = 4(-9 + 3x + (-3x + x2)) + 3(6x + -4)

Combine like terms: 3x + -3x = 0
36 + 24x + 4x2 = 4(-9 + 0 + x2) + 3(6x + -4)
36 + 24x + 4x2 = 4(-9 + x2) + 3(6x + -4)
36 + 24x + 4x2 = (-9 * 4 + x2 * 4) + 3(6x + -4)
36 + 24x + 4x2 = (-36 + 4x2) + 3(6x + -4)

Reorder the terms:
36 + 24x + 4x2 = -36 + 4x2 + 3(-4 + 6x)
36 + 24x + 4x2 = -36 + 4x2 + (-4 * 3 + 6x * 3)
36 + 24x + 4x2 = -36 + 4x2 + (-12 + 18x)

Reorder the terms:
36 + 24x + 4x2 = -36 + -12 + 18x + 4x2

Combine like terms: -36 + -12 = -48
36 + 24x + 4x2 = -48 + 18x + 4x2

Add '-4x2' to each side of the equation.
36 + 24x + 4x2 + -4x2 = -48 + 18x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
36 + 24x + 0 = -48 + 18x + 4x2 + -4x2
36 + 24x = -48 + 18x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
36 + 24x = -48 + 18x + 0
36 + 24x = -48 + 18x

Solving
36 + 24x = -48 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
36 + 24x + -18x = -48 + 18x + -18x

Combine like terms: 24x + -18x = 6x
36 + 6x = -48 + 18x + -18x

Combine like terms: 18x + -18x = 0
36 + 6x = -48 + 0
36 + 6x = -48

Add '-36' to each side of the equation.
36 + -36 + 6x = -48 + -36

Combine like terms: 36 + -36 = 0
0 + 6x = -48 + -36
6x = -48 + -36

Combine like terms: -48 + -36 = -84
6x = -84

Divide each side by '6'.
x = -14

Simplifying
x = -14

See similar equations:

| -3x-4= | | -2x-7= | | -2(-9x+7)=12(7-6x)-8x | | -2(-9x+7)=12(7-6x)-8 | | 6w+2=5w+6 | | 3(3x+2)-2(x+1)= | | 7(8x+4)+2x=-4(-12x-2) | | 7x=2.5+2x | | (x+3)*(x-2)=x*(x+4)-21 | | 0=7.75ft+0*t-4.9t | | 20+3x+20+2x=115 | | 7x+9x=8(x+6)+8(-6+5x) | | 6x^2+6x+12=0 | | 11(7v+7)=-2(6v+6) | | -2w+22=-13+2w-9 | | 12(r-10)=4(-5r-11)-12 | | -5x+35=-5x+35 | | 6(5+12n)=9(-3+6n)+3 | | A=B*(1+C*F) | | x-(27-x)=1 | | 7(9m+1)=10m+10(11-5m) | | 10x+7=9x+10+2(x-3) | | .5d-.75=1.6d | | -9(x+5)=-6(1+2x)+6x | | (21x-5)-12=56(25+7x) | | 0.4x-0.05(x-4000)=-500 | | 5-2x/x-1=-2 | | -9+6(2k-6)=-9+4(7-5k) | | 2(3x-4y)=1 | | -3(n+6)=-2(n+7) | | -3-13=8 | | 7-2x(12)+21x=-10 |

Equations solver categories