(3x+6)*(x-5)=132

Simple and best practice solution for (3x+6)*(x-5)=132 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+6)*(x-5)=132 equation:


Simplifying
(3x + 6)(x + -5) = 132

Reorder the terms:
(6 + 3x)(x + -5) = 132

Reorder the terms:
(6 + 3x)(-5 + x) = 132

Multiply (6 + 3x) * (-5 + x)
(6(-5 + x) + 3x * (-5 + x)) = 132
((-5 * 6 + x * 6) + 3x * (-5 + x)) = 132
((-30 + 6x) + 3x * (-5 + x)) = 132
(-30 + 6x + (-5 * 3x + x * 3x)) = 132
(-30 + 6x + (-15x + 3x2)) = 132

Combine like terms: 6x + -15x = -9x
(-30 + -9x + 3x2) = 132

Solving
-30 + -9x + 3x2 = 132

Solving for variable 'x'.

Reorder the terms:
-30 + -132 + -9x + 3x2 = 132 + -132

Combine like terms: -30 + -132 = -162
-162 + -9x + 3x2 = 132 + -132

Combine like terms: 132 + -132 = 0
-162 + -9x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-54 + -3x + x2) = 0

Factor a trinomial.
3((-6 + -1x)(9 + -1x)) = 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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {-6, 9}

See similar equations:

| 7+2(2x+1)=15 | | 2z+6=5z-9 | | (3x+12)+(5x+8)=180 | | 32=6v-(2v-8) | | -9.17+1.7b-10.1b=8.8b-12.85 | | y=(x+1)2(x^2+2x) | | 9(6d+6)=7(7d+6) | | 9m+3n-4m+10n= | | -4y-7=5y+74 | | 2x+2=7x-53 | | 9+4c-7c= | | 6.7=-3+x | | -w/9=-57 | | -164=-11p+3(8p-7) | | 16(2x-4)=12(2-x)+8x | | -13.9-m=16.7 | | -17.64+18.7s=19s-16.35 | | 11x+2=7x-53 | | 5g+8g= | | -7-x-1=5x | | -54=-u/8 | | 6x+1=7x-11 | | 3/2x-1=2-3x | | 10w-w-3w-4w+2w-3=17 | | 17x=0.5(60x+30) | | Log(y)=7 | | 3w-5=4w-10 | | 5=-1/2a | | -12.9h=-10.5h+10.56 | | 9m+4m-9m=16 | | -2x^3+6x^2+8x=0 | | 250+25y=50 |

Equations solver categories