-3x^2-6x-70=-10x-5x^2

Simple and best practice solution for -3x^2-6x-70=-10x-5x^2 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 -3x^2-6x-70=-10x-5x^2 equation: 


Simplifying
-3x2 + -6x + -70 = -10x + -5x2

Reorder the terms:
-70 + -6x + -3x2 = -10x + -5x2

Solving
-70 + -6x + -3x2 = -10x + -5x2

Solving for variable 'x'.

Reorder the terms:
-70 + -6x + 10x + -3x2 + 5x2 = -10x + -5x2 + 10x + 5x2

Combine like terms: -6x + 10x = 4x
-70 + 4x + -3x2 + 5x2 = -10x + -5x2 + 10x + 5x2

Combine like terms: -3x2 + 5x2 = 2x2
-70 + 4x + 2x2 = -10x + -5x2 + 10x + 5x2

Reorder the terms:
-70 + 4x + 2x2 = -10x + 10x + -5x2 + 5x2

Combine like terms: -10x + 10x = 0
-70 + 4x + 2x2 = 0 + -5x2 + 5x2
-70 + 4x + 2x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-70 + 4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-35 + 2x + x2) = 0

Factor a trinomial.
2((-7 + -1x)(5 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-7, 5}

See similar equations:

| 2x+4x+9x=180 | | (v+4)(v-9)=0 | | X^4-x^2-5=0 | | 12(y+4)=14(y+2) | | x/4x+x^2 | | 6k-83=87 | | 165-3x=4x+20 | | 5x+3=5-3 | | 7-6x+10+5x+2x=17 | | y=36+4x | | 15w=3 | | 4=8-4(4x-7) | | 4x^2+10x-18=-8x^2 | | -7(2x+1)+6x=65 | | 4r+10s=-18 | | 6x+5y+8z-4x+4z-9y= | | 3x+7x=-23-7x | | -6x-16=2x | | n-7.9=-31.05 | | 9g=13 | | 3n+2n=7+4 | | 1+n=7+5n | | 14+2x=x+4 | | 2x^2-2x=6 | | 3d-10=-1 | | 4c+8-c=8 | | 2x^2+x+4=5 | | 2x^2+x+4=5 | | -3(-3)=3m-6 | | t-27t= | | 6u-9u=-6(-2)+u | | 5x+13=85+3x |

Equations solver categories