6x^2+12x=210

Simple and best practice solution for 6x^2+12x=210 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 6x^2+12x=210 equation:


Simplifying
6x2 + 12x = 210

Reorder the terms:
12x + 6x2 = 210

Solving
12x + 6x2 = 210

Solving for variable 'x'.

Reorder the terms:
-210 + 12x + 6x2 = 210 + -210

Combine like terms: 210 + -210 = 0
-210 + 12x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-35 + 2x + x2) = 0

Factor a trinomial.
6((-7 + -1x)(5 + -1x)) = 0

Ignore the factor 6.

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-2(4x-2)=54 | | 12r^2s/4r | | -5(4n-5)=-75 | | 6a-18ab= | | -2=8x+4-8x | | -8=8n-8+3n | | 14x-7x-35x=factor | | (7+u)(3u+1)=0 | | 14x-7x-35x= | | 11x^2+11=7x | | -7x+9=113/11 | | Ix-1I=15 | | y=6tan(3x+1) | | 32r^2+80r+50=0 | | (6x+7)=65 | | 2(x-10)-8=-2(14-3x) | | x(3x-2)=9y-3 | | 8*X^5+12*X^4-10*X^3+17*X^2-18*X+5=0 | | 4v^2-9v-34=0 | | 3+5x-3x=14 | | Y=5x^2-3x | | Y=5x^2-e | | (1.9)(x)=(1.7)(x+2.8) | | 12x^2-48/24x^5 | | 11b^2-7b+1=0 | | y^4-3=-4 | | -6p+8p=-16+4p | | 6x+9x+27= | | 3/4-3x=-9/4 | | x^3+3=-4x | | x^12-15-62=0 | | 1/5e-1=2/3 |

Equations solver categories