3(x^2-10)-3x=6(x^2-2x)-42

Simple and best practice solution for 3(x^2-10)-3x=6(x^2-2x)-42 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^2-10)-3x=6(x^2-2x)-42 equation: 


Simplifying
3(x2 + -10) + -3x = 6(x2 + -2x) + -42

Reorder the terms:
3(-10 + x2) + -3x = 6(x2 + -2x) + -42
(-10 * 3 + x2 * 3) + -3x = 6(x2 + -2x) + -42
(-30 + 3x2) + -3x = 6(x2 + -2x) + -42

Reorder the terms:
-30 + -3x + 3x2 = 6(x2 + -2x) + -42

Reorder the terms:
-30 + -3x + 3x2 = 6(-2x + x2) + -42
-30 + -3x + 3x2 = (-2x * 6 + x2 * 6) + -42
-30 + -3x + 3x2 = (-12x + 6x2) + -42

Reorder the terms:
-30 + -3x + 3x2 = -42 + -12x + 6x2

Solving
-30 + -3x + 3x2 = -42 + -12x + 6x2

Solving for variable 'x'.

Reorder the terms:
-30 + 42 + -3x + 12x + 3x2 + -6x2 = -42 + -12x + 6x2 + 42 + 12x + -6x2

Combine like terms: -30 + 42 = 12
12 + -3x + 12x + 3x2 + -6x2 = -42 + -12x + 6x2 + 42 + 12x + -6x2

Combine like terms: -3x + 12x = 9x
12 + 9x + 3x2 + -6x2 = -42 + -12x + 6x2 + 42 + 12x + -6x2

Combine like terms: 3x2 + -6x2 = -3x2
12 + 9x + -3x2 = -42 + -12x + 6x2 + 42 + 12x + -6x2

Reorder the terms:
12 + 9x + -3x2 = -42 + 42 + -12x + 12x + 6x2 + -6x2

Combine like terms: -42 + 42 = 0
12 + 9x + -3x2 = 0 + -12x + 12x + 6x2 + -6x2
12 + 9x + -3x2 = -12x + 12x + 6x2 + -6x2

Combine like terms: -12x + 12x = 0
12 + 9x + -3x2 = 0 + 6x2 + -6x2
12 + 9x + -3x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
12 + 9x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(4 + 3x + -1x2) = 0

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

Ignore the factor 3.

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {4, -1}

See similar equations:

| 14x+1+6x-9=32 | | 2x-1=5/3 | | 4x(x-4)+2=x^2+2(2x+17) | | 3/7x-7/5=5x+3/2 | | 3(a-2)+4=4a-(a+2) | | -4x^2-36x-80= | | -4x+4=-4(2x+5) | | (x+2)(x+2)=8+x | | 10a*2-25a=0 | | 5x^2+9x-8=0 | | 10a*2=25a | | 4y^2+8y=60 | | 4y^2-12y=-5 | | 2(x+3)+6=4(x-1) | | 2y^2+7y=15 | | 2(3a^2-5)=8a+4 | | p*0.4*1/4 | | y=-4/7x+9 | | 16/2=b/6 | | 10(2a+3)=50 | | 12+x+4+x=48 | | (3x-105)=(2x+10) | | 90/x=15/21 | | y=-4/3x+17 | | -m/20+4=17 | | 6.7y+.8=.9y+17.6 | | 3900x-15500-495x^2= | | -7x+3y=-9 | | 17.4t-6.3=9.4t-62.2 | | -2.8p+3=.9 | | 4x-3y-6=0 | | 5x+13=-13 |

Equations solver categories