2(x+11)(x-5)-x(x+11)=130

Simple and best practice solution for 2(x+11)(x-5)-x(x+11)=130 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 2(x+11)(x-5)-x(x+11)=130 equation:


Simplifying
2(x + 11)(x + -5) + -1x(x + 11) = 130

Reorder the terms:
2(11 + x)(x + -5) + -1x(x + 11) = 130

Reorder the terms:
2(11 + x)(-5 + x) + -1x(x + 11) = 130

Multiply (11 + x) * (-5 + x)
2(11(-5 + x) + x(-5 + x)) + -1x(x + 11) = 130
2((-5 * 11 + x * 11) + x(-5 + x)) + -1x(x + 11) = 130
2((-55 + 11x) + x(-5 + x)) + -1x(x + 11) = 130
2(-55 + 11x + (-5 * x + x * x)) + -1x(x + 11) = 130
2(-55 + 11x + (-5x + x2)) + -1x(x + 11) = 130

Combine like terms: 11x + -5x = 6x
2(-55 + 6x + x2) + -1x(x + 11) = 130
(-55 * 2 + 6x * 2 + x2 * 2) + -1x(x + 11) = 130
(-110 + 12x + 2x2) + -1x(x + 11) = 130

Reorder the terms:
-110 + 12x + 2x2 + -1x(11 + x) = 130
-110 + 12x + 2x2 + (11 * -1x + x * -1x) = 130
-110 + 12x + 2x2 + (-11x + -1x2) = 130

Reorder the terms:
-110 + 12x + -11x + 2x2 + -1x2 = 130

Combine like terms: 12x + -11x = 1x
-110 + 1x + 2x2 + -1x2 = 130

Combine like terms: 2x2 + -1x2 = 1x2
-110 + 1x + 1x2 = 130

Solving
-110 + 1x + 1x2 = 130

Solving for variable 'x'.

Reorder the terms:
-110 + -130 + 1x + 1x2 = 130 + -130

Combine like terms: -110 + -130 = -240
-240 + 1x + 1x2 = 130 + -130

Combine like terms: 130 + -130 = 0
-240 + 1x + 1x2 = 0

Factor a trinomial.
(-16 + -1x)(15 + -1x) = 0

Subproblem 1

Set the factor '(-16 + -1x)' equal to zero and attempt to solve: Simplifying -16 + -1x = 0 Solving -16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = 0 + 16 -1x = 0 + 16 Combine like terms: 0 + 16 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16

Subproblem 2

Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15

Solution

x = {-16, 15}

See similar equations:

| x+4y=-21 | | -3(x-4)=9x+68-4x | | -6.1x=-58 | | 2x-15=33+4x | | 7x+(3+x)=9 | | 4(1-3x)=23 | | 3*(3a+3)+6=81 | | 20-(3x-9)=-(-11x+9) | | 16-2(3x+4)=38 | | 0.2(1-8x)+1.1=-5(0.4x-0.3) | | 4t+t= | | F(x)=-3x-7 | | 2n-8+6=-10-2n | | 4.7(x-2)=-0.3+30.6 | | 1/4m=4 | | 57x=32x | | 16-2(3x+4)=9x+68-4x | | 20-(3x-9)=-(-11+9) | | 8x^2+1x+7=0 | | 2x+4+2x-9+x=100 | | 5(x+6)-7x=38 | | -8y+9-3y+2x= | | 30+2x=-4(5x-2) | | 2k^2-25=16 | | 32U-8-124=22U-66 | | 6x-3=8x+5 | | 20-5y=-30 | | x^3-12x^2-47x-84=0 | | (6)/(x^(2)+3x-10) | | 7/8*7 | | 0.3(x-1.5)=3.3 | | 7z-9=7(z-13) |

Equations solver categories