((4+3x)*(4+3x))-24x=52

Simple and best practice solution for ((4+3x)*(4+3x))-24x=52 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+3x)*(4+3x))-24x=52 equation:


Simplifying
((4 + 3x)(4 + 3x)) + -24x = 52

Multiply (4 + 3x) * (4 + 3x)
((4(4 + 3x) + 3x * (4 + 3x))) + -24x = 52
(((4 * 4 + 3x * 4) + 3x * (4 + 3x))) + -24x = 52
(((16 + 12x) + 3x * (4 + 3x))) + -24x = 52
((16 + 12x + (4 * 3x + 3x * 3x))) + -24x = 52
((16 + 12x + (12x + 9x2))) + -24x = 52

Combine like terms: 12x + 12x = 24x
((16 + 24x + 9x2)) + -24x = 52
(16 + 24x + 9x2) + -24x = 52

Remove parenthesis around (16 + 24x + 9x2)
16 + 24x + 9x2 + -24x = 52

Reorder the terms:
16 + 24x + -24x + 9x2 = 52

Combine like terms: 24x + -24x = 0
16 + 0 + 9x2 = 52
16 + 9x2 = 52

Solving
16 + 9x2 = 52

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 9x2 = 52 + -16

Combine like terms: 16 + -16 = 0
0 + 9x2 = 52 + -16
9x2 = 52 + -16

Combine like terms: 52 + -16 = 36
9x2 = 36

Divide each side by '9'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

See similar equations:

| 12(x+4)-3x=3(3x+3)-17 | | 8000x+600000h=j | | 6=1-8x+5 | | 30=8x+3 | | (2x*2x)+3x=5x-(x*x) | | x^2+2x^2-x=2x^2-8 | | -(4x-8y)+4x+8y= | | 2x^4-56x^2-27=0 | | 4/15-5/12 | | x-53+96+79=238 | | 3-2(x+5)=4 | | Log[9](270)=x-3 | | 21/3/21/7 | | 3x*(x+2)+((x-1)*(x-1))=x+1 | | 9x^4+14x^2-8=0 | | -11-9/2 | | -5r-7r=6 | | 6p^2-9p=27 | | 6(2z-1)-2(3z)=3 | | x-9/2=10 | | 11b^2-47b-40= | | 7x^2-14x-4=3 | | (x*x)+x(2x-45)=0 | | m(m-1)(m-2)+5m(m-1)+7m+8=0 | | 5(x+6)-2=9x | | x/20=27-x/25 | | x+5=20/x+4 | | 3x+2u=0 | | 6x^2+15=33 | | 1-r= | | -7y=21-x | | x/30=15/18 |

Equations solver categories