-11x-2=x^2+26

Simple and best practice solution for -11x-2=x^2+26 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 -11x-2=x^2+26 equation:


Simplifying
-11x + -2 = x2 + 26

Reorder the terms:
-2 + -11x = x2 + 26

Reorder the terms:
-2 + -11x = 26 + x2

Solving
-2 + -11x = 26 + x2

Solving for variable 'x'.

Reorder the terms:
-2 + -26 + -11x + -1x2 = 26 + x2 + -26 + -1x2

Combine like terms: -2 + -26 = -28
-28 + -11x + -1x2 = 26 + x2 + -26 + -1x2

Reorder the terms:
-28 + -11x + -1x2 = 26 + -26 + x2 + -1x2

Combine like terms: 26 + -26 = 0
-28 + -11x + -1x2 = 0 + x2 + -1x2
-28 + -11x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-28 + -11x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(28 + 11x + x2) = 0

Factor a trinomial.
-1((7 + x)(4 + x)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Solution

x = {-7, -4}

See similar equations:

| 2n(6n+2)-6n(-2+2n)= | | -4(u+5)=-9u-30 | | f(-17)=7*-17*12 | | 8-m=m | | -1.4n+2.1=6.58 | | -x+7-6x=19-9x | | 4(2x+1)=2(3x-1) | | -3(6b+6)-6(7b+2)= | | 2a+9a-9+6= | | 6m-m=5(6m-10) | | 28+9y=34 | | (5k-4)(k+3)=0 | | -x+6x=19-3x | | 3y=9x+18 | | -10y+5z=8y-4z-27 | | 36x^2-121= | | 3.9q-2.7-5.2q=-2.3q-2.8 | | 28+9y= | | 36h^2-81=o | | 3(2m+4)=2(3m+6) | | x+.33=338 | | -6n(6+2n)-2(7n+3)= | | 9x-4(2-2x)=5 | | 7x+2(-7X+16)=116 | | 2x^3+8x^2+7x+3=0 | | h(t)=121t-16tsquared | | K^5+6k^7= | | 4(5x+5)+8(5+3x)= | | 6(y+2)-3y=-3 | | 0.2(10b+60)=-4(b-12) | | 4logx+3logy=10 | | 15x^3+-20x^1= |

Equations solver categories