72=-3+3(x-1)(x-1)

Simple and best practice solution for 72=-3+3(x-1)(x-1) 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 72=-3+3(x-1)(x-1) equation:


Simplifying
72 = -3 + 3(x + -1)(x + -1)

Reorder the terms:
72 = -3 + 3(-1 + x)(x + -1)

Reorder the terms:
72 = -3 + 3(-1 + x)(-1 + x)

Multiply (-1 + x) * (-1 + x)
72 = -3 + 3(-1(-1 + x) + x(-1 + x))
72 = -3 + 3((-1 * -1 + x * -1) + x(-1 + x))
72 = -3 + 3((1 + -1x) + x(-1 + x))
72 = -3 + 3(1 + -1x + (-1 * x + x * x))
72 = -3 + 3(1 + -1x + (-1x + x2))

Combine like terms: -1x + -1x = -2x
72 = -3 + 3(1 + -2x + x2)
72 = -3 + (1 * 3 + -2x * 3 + x2 * 3)
72 = -3 + (3 + -6x + 3x2)

Combine like terms: -3 + 3 = 0
72 = 0 + -6x + 3x2
72 = -6x + 3x2

Solving
72 = -6x + 3x2

Solving for variable 'x'.

Reorder the terms:
72 + 6x + -3x2 = -6x + 6x + 3x2 + -3x2

Combine like terms: -6x + 6x = 0
72 + 6x + -3x2 = 0 + 3x2 + -3x2
72 + 6x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
72 + 6x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(24 + 2x + -1x2) = 0

Factor a trinomial.
3((6 + -1x)(4 + x)) = 0

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Solution

x = {6, -4}

See similar equations:

| 6x-2(-3x+7)=10 | | 3(g+4)=g+5 | | 12b+2=2(6b+3) | | (5+6x)+2= | | 6x+3=-3x+84 | | 4x-6x=-18 | | 6x+3=-33x+84 | | 3+p=20 | | 5(p-6)=2p | | 6-3(4x-1)=4x-7 | | 6x^2-27x+1=0 | | x=16x^2+3x-6 | | -x-13=-22 | | -7x+-16=-5 | | 3p=20 | | 6+2x=x+13 | | y+5=35 | | (24x^9)(y^12)/(3x6^3)(y^12) | | 6x-27x+1=0 | | 2x=x+5(11x-1) | | 6x-28x+1=0 | | 46e+416=600 | | -8(x+1)+1= | | 6x-36+x=7x-49+13 | | (5-y)(5y+9)=0 | | (16n)^(3/2)=64 | | 8.4=0.14k | | (16n)^(3/2) | | -x+9=-x-3 | | 2(x+8)=3(6-x) | | -3(2k-2)+7=21-6k | | 2x-9x+67=2x+31 |

Equations solver categories