3*(x-2)(x-2)+4=52

Simple and best practice solution for 3*(x-2)(x-2)+4=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 3*(x-2)(x-2)+4=52 equation: 


Simplifying
3(x + -2)(x + -2) + 4 = 52

Reorder the terms:
3(-2 + x)(x + -2) + 4 = 52

Reorder the terms:
3(-2 + x)(-2 + x) + 4 = 52

Multiply (-2 + x) * (-2 + x)
3(-2(-2 + x) + x(-2 + x)) + 4 = 52
3((-2 * -2 + x * -2) + x(-2 + x)) + 4 = 52
3((4 + -2x) + x(-2 + x)) + 4 = 52
3(4 + -2x + (-2 * x + x * x)) + 4 = 52
3(4 + -2x + (-2x + x2)) + 4 = 52

Combine like terms: -2x + -2x = -4x
3(4 + -4x + x2) + 4 = 52
(4 * 3 + -4x * 3 + x2 * 3) + 4 = 52
(12 + -12x + 3x2) + 4 = 52

Reorder the terms:
12 + 4 + -12x + 3x2 = 52

Combine like terms: 12 + 4 = 16
16 + -12x + 3x2 = 52

Solving
16 + -12x + 3x2 = 52

Solving for variable 'x'.

Reorder the terms:
16 + -52 + -12x + 3x2 = 52 + -52

Combine like terms: 16 + -52 = -36
-36 + -12x + 3x2 = 52 + -52

Combine like terms: 52 + -52 = 0
-36 + -12x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-12 + -4x + x2) = 0

Factor a trinomial.
3((-2 + -1x)(6 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-2, 6}

See similar equations:

| 2(7+8)= | | 4-7x= | | -r-3r=-8(-7-r)-5(4+6r) | | 3x^2-12x+12x=0 | | 3-2x= | | 4*3+2/5+3*2 | | y=4(1.05)x^3 | | y=1.5x^2 | | 2x-5+8=x+7 | | X-40=8+x | | y=0.25(1.4)x^3 | | 3x^3/4=375 | | 45+3y-20=14y-11-5y | | w=3/2+5/8 | | 3+4^2-30/5 | | x^2-9=13 | | 14x-10=11x+15 | | t/-2.1=-7.8 | | m/8+5/8 | | (12+2x)(x)=630 | | 2x+16+1=x+11 | | (x+3)^2(2-x)/(x+4)(x^2-4) | | .908=2.913+x | | 450=x+4y | | -5x-69=-12x+134 | | 8x-83=-x+88 | | 5(k-3)-3(2k+4)=20 | | 3x+2=3(x-1) | | x+4y=450 | | -6v=15 | | -98+11x=42+6x | | 126=.80x+30 |

Equations solver categories